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ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡ ู‡ู†ุงุฎุฏ
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practice problems of chapter 10 I will start with
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number 67 and this type of questions just multiple
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choice it says when testing p1 minus p2 equals zero so
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we are testing p1 minus p2 equals zero so
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we are testing p1 minus p2 equals zero
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it asks about the value of p for this test now the value of p
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for this test in this case we have two tests
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related so to find the value of p we should study the programs
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the value is negative
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the test is two-tailed
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2.13 ูŠุณุฃู„ ุนู† ู‚ูŠู…ุฉ B ู„ู‡ุฐุง ุงู„ุงุฎุชุจุงุฑ ุงู„ุขู† ู‚ูŠู…ุฉ B
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ู„ู‡ุฐุง ุงู„ุงุฎุชุจุงุฑ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู†ุญู† ู„ุฏูŠู†ุง ุงุฎุชุจุงุฑูŠู†
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ู…ุฑุชุจุทูŠู† ู„ุฐุง ู„ุชู†ู…ูŠุฉ ู‚ูŠู…ุฉ B ูŠุฌุจ ุฃู† ู†ุฏุฑุณ ุงู„ุจุฑุงู…ุฌ
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ุงู„ู‚ูŠู…ุฉ ู…ูุงุฑู‚ุฉ
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ุงู„ุงุฎุชุจุงุฑ ู…ู† ุทุฑููŠู†
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ุงู„ู†ู‚ุทุฉ ุนู„ู‰ ุงู„ูŠุณุงุฑ ู…ู† 2.13 ู‡ูŠ ุงู„ู…ู†ุทู‚ุฉ ุนู„ู‰ ุงู„ูŠุณุงุฑ ู…ู†
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ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท 2.13 ูุงู‚ูˆู… ูู‚ุท ุจู…ุซุงุจุฑุฉ ูˆุงุญุฏุฉ ูˆ
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ุงุฑุชุจุทู‡ุง ุจ2 ุงู„ุฃุณู‡ู„ ู‡ูˆ ู†ู‚ุงุท ู†ู‚ุงุท ู†ู‚ุงุท 2.13 ู‡ูˆ ู…ุจุงุดุฑุฉ
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ู…ู† ุงู„ู…ุนุฑูุฉ ุงู„ุชูŠ ุงุณุชุฎุฏู…ู†ุงู‡ุง ุนุฏุฉ ู…ุฑุงุช ููŠ ู‡ุฐู‡ ุงู„ุฏุฑุงุณุฉ
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ูู„ู†ุนูˆุฏ ู…ุฑุฉ ุฃุฎุฑู‰ ุฅู„ู‰ ุงู„ู…ุนุฑูุฉ Z
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ุงู„ุฃู† ู„ู€-2.13 ู„ู€-2.1 ู…ู† 3 ุงู„ู‚ูŠู…ุฉ
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ู‡ูŠ 0.0166
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ู‡ูˆ 332.0332
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ู‡ุฐุง ู‡ูˆ ู‚ูŠู…ุฉ B ูุงู„ุฅุฌุงุจุฉ
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ุงู„ุตุญูŠุญุฉ ู‡ูŠ C ูC ู‡ูˆ ุงู„ู†ุชุงุฆุฌ ุงู„ุตุญูŠุญุฉ ุงู„ุขู† ู‡ู†ุงูƒ ุญู„ูˆุฉ
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ุฏูŠ 0166 ู‡ุฐุง ู†ูˆุน ูˆุงุญุฏ ุฃูˆ ูˆุงุญุฏ ุชุฌุงุฑุจ ูˆุงุญุฏุฉ ูˆู„ูƒู†
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ุจุงู„ู†ุณุจุฉ ู„ู„ุชุงู†ูŠ ุงู„ุฌุงู†ุจ ูŠุฌุจ ุฃู† ู†ุฒูŠู„ ู‡ุฐุง ุจุงู„ุงู†ุชุตุงุฑ 2
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ู„ุฐู„ูƒ ู…ุฑุฉ ุฃุฎุฑู‰ ุงู„ุฅุฌุงุจุฉ 0332 ุฑู‚ู… ุฏูŠ ุตุญูŠุญ ูู‚ุท ู„ู€ one
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tailed ู‡ุฐุง ู„ู€
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67
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ุฃูŠ ุณุคุงู„ 68
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ุนู†ุฏ ุชุฌุฑุจุฉ p1 ู…ุงู†ุณุง p2 ู‡ูˆ ุฃูƒุชุฑ ู…ู† ุฃูˆ ุฃูƒุชุฑ ู…ู†
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ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
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ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
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ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
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ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
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ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
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ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ
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ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู†ู‚ุทุฉู‡ุฐู‡ ู…ุญุงูˆู„ุฉ one-tailed ู„ุฐู„ูƒ
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ุงู„ู…ู†ุทู‚ุฉ ุนู„ู‰ ุงู„ูŠุณุงุฑ ู†ู‚ู„ 2.13 ู‡ุฐู‡ ุงู„ู…ู†ุทู‚ุฉ ููŠ ุงู„ูˆุงู‚ุน
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ู‡ูŠ 0166 ู„ุฐู„ูƒ ุงู„ู†ุชุงุฆุฌ ุงู„ุตุญูŠุญุฉ ู‡ูŠ B
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ุทุจ ู„ูˆ ุณุฃู„ุชูƒ ู†ูุณ ุงู„ุณุคุงู„ ุจุณ ุจุนู…ู„ testing by one
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minus by two is positive ุฃูƒุจุฑ ู…ู† ุตูุฑ ู„ุญุธุฉ
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ุงู„ area ุงู„ู„ูŠ ู‡ู†ุง ุทู„ุนุช point zero one six six ู„ูˆ
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ุนุงูŠุฒู‡ุง ุฃูƒุจุฑ ุงู„ู€ P value ุณุชูƒูˆู† P of Z ุฃูƒุชุฑ ู…ู† ู‡ุฐุง
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ุงู„ู€ Negative ุงู„ู…ุณุงุญุฉ
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ู‡ุฐู‡ ูƒู„ู‡ุง ุณุชุตุจุญ ูˆุงุญุฏ ู†ู‚ุต ูŠุนู†ูŠ
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ุฌูˆุง point 9834 ุณูŠูƒูˆู† 9834 C ุชุฎุชู„ู ุญุณุจ ุงู„ู…ุซู„ุฉ
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ู‡ุฐุง six .. seven .. six .. eight six
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.. nine ุงู„ู„ูŠ ุจุนุฏ six .. eight ุงุดุชุบู„ ุดุจุงุจ six ..
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eight ุจุญูƒูŠู†ุง ุจูŠู‡ ุงุดุชุบู„ู‡ุง ุงู„ C ู‡ู†ุงูƒ ุฃูˆ ุญูƒูŠุงุด ุงู„ุฃู‚ู„
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ู…ุง ุทู„ุนู†ุงู‡ุง 0166 69
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69
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The Wall Street Journal recently published an
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article indicating differences in perception of
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sexual harassment on the job between men and women
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ุจุญูƒูŠ ุดุบู„ุฉ ู„ู€ Men and Women ุงู„ู…ู‚ุงู„
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claimed ุงู„ู…ู‚ุงู„
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ุจุชุญูƒูŠ ุงู„ women perceived the problem to be much
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more prevalent than dead men ูŠุนู†ูŠ ุงู„ women ุฃูƒุชุฑ
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ูˆุงุญุฏุฉ
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question asked of both men and women was ุงู„ู…ู‡ู… 20%
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ุฃุนุทู‰ 20% ู…ู† ุงู„ุฑุฌุงู„ ู…ู‚ุงุฑู†ุฉ ุจ 62% ู…ู† ุงู„ู…ุฑุฃุฉ ุฅุฐุง
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ุงู„ู…ู‚ุงุฑู†ุฉ ู„ู„ู…ุฑุฃุฉ 62% ูˆ ุงู„ู…ู‚ุงุฑู†ุฉ ู„ู„ุฑุฌุงู„ 24% ุฌูŠุฏ
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what should the wall street to showุŸ ู…ูŠู† ูุถู„ ุตุญุŸ
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ู‡ูˆ ุจูŠุญูƒูŠ ุงู„ women ุฃุนู„ู‰ ูŠุนู†ูŠ ุจูŠุญูƒูŠ ุงู„ as a boy ูŠุนู†ูŠ
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ู…ุน ูƒุฏู‡ ุงู„ H one ู…ูŠู†
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ูุถู„ ุตุญุŸ ุฏูŠ ู„ุญุธุฉ ุฏูŠ ู„ุฃู† ููŠู‡ุง ุนู†ุฏูƒ ุงู„ p ู„ู„ women
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minus ุงู„ p ู„ู„ู…ู† is positive it means this is the
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correct answer ุฎู„ุงุต ุฏูŠ
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is the correct answer ุงู„ู„ูŠ
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ุจุนุฏู‡ ู†ูุณ ุงู„ุณุคุงู„ suppose that one hundred fifty men
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women and 200 men were interviewed ู„ู…ุง ุฃุฎุฐูˆุง ุงู„
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sample ูƒุงู† ุงู„ women 150
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ูˆุงู„ men 200 ุจุณุฃู„ what is the value of the test
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statistic ุณุคุงู„ ู…ู‡ู… ุฅูŠุด ู‚ูŠู…ุฉ ุงู„ test statistic ุนุดุงู†
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ุฃุทู„ุน ุงู„ test ู‡ุงูŠ ุงู„ู‚ุงู†ูˆู† p1-p2-pi 1-pi 2 Divide by
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square root p' plus
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1 over n2 So in order to compute this z, first
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step we have to compute the pooled proportion,
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overall proportion p' Now p' equals x1 plus x2 n1
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plus n2 x1 this is x1 this is x2 this is 150 ู‡ุฏูˆู„
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in one and in two ุงู„ู„ูŠ ุทู„ุนู†ุงู‡ู… ู…ุธุจูˆุท
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ู‡ุฏูˆู„ interviewed ู…ูŠุฉ ูˆ ุฎู…ุณูŠู† women ูˆ ู…ูŠุชูŠู† men
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ูุงู„ู…ู‚ุงู… ุนู†ุฏูŠ ู‡ูŠูƒ 150 plus 200 ุทูŠุจ ุงู„ x1 ู‡ูˆ ู…ุง ุฃุนุทุงู†ูŠุด
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ุงู„ x1 ู…ุธุจูˆุท ูƒูŠู
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ุฃุทู„ุญู‡ุง ุงู„ x1 ู‡ูˆ ุทู„ุน 62 of women ุงู„ู‚ุงู†ูˆู†
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ุชุจุน p1 ุนุจุงุฑุฉ ุนู† ุฅูŠุด x1 ุนู„ู‰ n1 ุนู†ุฏู†ุง ุงู„ p1 ู…ุธุจูˆุท ู…ุน
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ูƒุฏู‡ ุงู„ x1 ู…ุด ู…ุชุณุงูˆูŠ n1p1 ู…ุธุจูˆุท ูˆ x2 ุฒูŠู‡ุง ูŠุง ู…ู…ูƒู†
91
00:11:05,730 --> 00:11:12,850
ุงู„ู‚ุงู†ูˆู† ุงู„ุตุงุฑ ุนุจุงุฑุฉ ุนู† ุฅูŠุด ุงู„ x1 ู‡ุฏูŠ n1p1 ู…ุธุจูˆุท
92
00:11:12,850 --> 00:11:15,870
ู„ุฃู†ู‡ ู…ุง ุฃุนุทุงู†ูŠุด ุงู„ x direct ุฃุนุทุงู†ูŠ ุงู„ proportion
93
00:11:15,870 --> 00:11:26,790
ุฅู„ุง ู„ูˆ ุญูƒูŠุช ู„ูƒ ุฃู†ุชูˆุง ุนุฏุฏูƒู… 100 ู…ู„ุงุด 190 ูˆ ุงู„ุทู„ุจุงุช
94
00:11:26,790 --> 00:11:36,470
ุงู„ู…ุดุบุจุงุช ููŠูƒู… 30% ู…ุงุฐุง ู‡ูŠ ุนุฏุฏ ุงู„ู…ุดุงุฑุจูŠู†ุŸ p1 ุนุจุงุฑุฉ
95
00:11:36,470 --> 00:11:43,570
ุนู† x .. ุนุจุงุฑุฉ ุนู† x1 ุนู„ู‰ n1 p1 ุซู„ุงุซุฉ x1 ู…ุด ุนุงุฑูุฉ n1
96
00:11:43,570 --> 00:11:49,530
ุชุณุนูŠู† ูุงู„ x1 ู…ุด ุจุชุณุงูˆูŠ ุงู„ุซู„ุงุซูŠู† ููŠ ุงู„ุชุณุนูŠู† ูŠุนู†ูŠ
97
00:11:49,530 --> 00:11:57,990
ุณุจุนุฉ ูˆ ุนุดุฑูŠู†ุŒ ู…ุธุจูˆุทุŸ ูู‡ุฐู‡ ู‡ุชุณุงูˆูŠ n1 ููŠ p1 ุฎุฏูŠ n1
98
00:11:57,990 --> 00:12:04,480
ู…ูŠุฉ ูˆ ุฎู…ุณูŠู† ูŠุญูƒูŠ ุงู„ women 150 ุถุฑุจ
99
00:12:04,480 --> 00:12:13,260
62 plus 200 ููŠ 24 over
100
00:12:13,260 --> 00:12:20,900
n1 plus n2 ุถุฑุจูŠู‡ุง
101
00:12:20,900 --> 00:12:21,500
ู‡ุฏูˆู„ ู‡ุงุช
102
00:12:25,650 --> 00:12:30,270
ู‡ูˆ ุจุณ ู…ุฌุฑุฏ calculations ูŠุนู†ูŠ ู…ุด ุฃูƒุชุฑ ู…ู† ู‡ูŠ 150.62
103
00:12:30,270 --> 00:12:39,050
ู‡ุฏูˆู„ 93 ุถุฑุจ
104
00:12:39,050 --> 00:12:47,390
48 ุจูŠุทู„ุน
105
00:12:47,390 --> 00:12:56,150
ุงู„ุฌูˆุงุจ ุฃู† ู‡ูŠ point four ุชู‚ุฑูŠุจุงู‹ zero ุชู‚ุฑูŠุจุงู‹ 0.4023
106
00:12:56,150 --> 00:13:04,190
ุฃูˆ ุญุงุฌุฉ ุฒูŠ ุฐู„ูƒ ุชู‚ุฑูŠุจุงู‹ ูƒุฐุง ู‡ุฐู‡ ุงู„ู€ p' ู‡ุฐู‡
107
00:13:04,190 --> 00:13:11,350
ู…ุง ู†ุณู…ูŠู‡ุง ุงู„ู€ bold ู„ู…ู†ุŸ ู„ู„ู€ overall proportion
108
00:13:11,350 --> 00:13:15,150
ุฃุฒูŠู‡ุง
109
00:13:15,150 --> 00:13:18,410
ู‡ุชุณุงูˆูŠุŸ ุงู„ู€ p1' ู‡ูŠ ู…ูˆุฌูˆุฏุฉ
110
00:13:24,860 --> 00:13:40,340
62-24 under square root 0.403 1- 1 over n1 plus 1
111
00:13:40,340 --> 00:13:47,140
over n2 ุงู„ุญู„ ุงู„ุณุคุงู„ุŒ ุฅูŠุด ุงู„ุฌูˆุงุจ ุทู„ุนุŸ
112
00:13:47,140 --> 00:13:52,260
ุดูˆููŠ ููŠ ุงู„ูƒุชุงุจ ุงู„ุณุคุงู„ 70 ุฅูŠุด ุงู„ุฌูˆุงุจุŸ ู‡ุฐู‡ ุทุฑูŠู‚ุฉ
113
00:13:52,260 --> 00:13:59,900
ุงู„ุญู„ุŒ ุจุณ ุทู„ุน ุงู„ุฌูˆุงุจ C ู‡ูˆ .. ุงู„ู€ C ู…ู†ุทู‚ .. ุฎู„ู‘ูŠ ุจุงู„ูƒ
114
00:13:59,900 --> 00:14:06,100
ุงู„ู€ p ู…ุด ู…ู†ุทู‚ ู„ูŠุดุŸ ูŠุนู†ูŠ ุงู„ู€ p ู…ุด ุตุญ ุงู„ุชุงุจู„ุงุด
115
00:14:06,100 --> 00:14:12,100
ู‚ูŠู…ุฉ ุงู„ู€ Z ุจุชุทู„ุน ุนุงู„ูŠุฉ ู„ุฃู† ุงู„ู€ p ุนุงู„ูŠุฉุŒ ู‡ุฏูˆู„ุŒ
116
00:14:12,100 --> 00:14:15,940
ุงู„ูุฑู‚ ุจูŠู†ู‡ู… ูƒุจูŠุฑ ุงู„ู…ู‡ู… ุฅุฐุง ุญู„ุชูŠู‡ุง ุตุญ ุฅูŠุด ุงู„ุฌูˆุงุจ
117
00:14:15,940 --> 00:14:20,940
ุทู„ุน ููŠ ุงู„ูƒุชุงุจุŸ ุงุนุชุจุฑ ุงู„ุฌูˆุงุจ ุงู„ู€ C ุจุชุชุฃูƒุฏ ู…ู†ู‡ุง ููŠ
118
00:14:20,940 --> 00:14:39,160
ุงู„ุจูŠุช seven one seven three ุฅุฐุง seven ู‡ุฐุง
119
00:14:39,160 --> 00:14:45,340
ู†ูุณู‡ ู„ ูˆุงุญุฏ ูˆ ุณุจุนูŠู† ุทูŠุจ
120
00:14:45,340 --> 00:14:47,460
ุงู„ุณุคุงู„ ุงู„ุจุนู†ูˆ ู…ู† ุญู„ ุจุณ ุจุณุฑุนุฉ ุดูˆูŠุฉ
121
00:14:57,980 --> 00:15:05,380
ุฅูŠุด ุงู„ุฌูˆุงุจ ู„ู„ุณุคุงู„ ู‡ุฐุงุŸ ู„ูŠุด ุจูŠู‡ุŸ ู‡ูˆ ุจูŠุญูƒูŠ men and
122
00:15:05,380 --> 00:15:10,480
women ู…ุง ู„ู‡ู… differ ุจูŠุฎุชู„ููˆุง ุนู† ุจุนุถ ุทุงู„ู…ุง ุจูŠุฎุชู„ููˆุง
123
00:15:10,480 --> 00:15:13,760
ูŠุนู†ูŠ ู„ุง ูŠุณุงูˆูŠ ูˆุจุงู„ุชุงู„ูŠ ุงู„ูˆุญูŠุฏ ุงู„ู„ูŠ ููŠู‡ ู„ุง ูŠุณุงูˆูŠ
124
00:15:13,760 --> 00:15:23,380
ู‡ูŠู‡ุŒ ุฅุฐุงู‹ ุฅู†ูŠ ุฌูˆุงุจ ุจูŠู‡ุŒ ุฎู„ุงุต ุงู„ุณุคุงู„
125
00:15:23,380 --> 00:15:24,000
ุงู„ุจุนุฏุŒ 72
126
00:15:36,630 --> 00:15:40,770
ุงู„ุณุคุงู„ ุจุญูƒูŠ if the p value turns out to be point
127
00:15:40,770 --> 00:15:43,010
zero two of the p value
128
00:15:52,640 --> 00:15:56,480
ู†ูุชุฑุถ ุงู„ู€ p value 0.35 ุจูŠุญูƒูŠ which is not the real
129
00:15:56,480 --> 00:15:59,200
value of this dataset ู…ุด ุงู„ู‚ูŠู…ุฉ ุงู„ูุนูŠู„ุฉ ู„ูƒู† ู‡ูŠ
130
00:15:59,200 --> 00:16:03,900
ูƒุงู†ุช ู…ุฌุฑุฏ example then ุงู„ู€ p value ุจูŠุณุงูˆูŠ ู‡ูŠูƒ
131
00:16:03,900 --> 00:16:08,500
ุงู„ู‚ุฑุงุฑ reject ูˆู„ุง don't rejectุŸ ุญุณุจ alpha ุทู„ุน and
132
00:16:08,500 --> 00:16:13,240
alpha 4 percent reject ุฅุญู†ุง we reject ุฅุฐุง ูƒุงู†ุช ุงู„
133
00:16:13,240 --> 00:16:17,020
p value less than alpha ูˆุฅุฐุง ุญุฏ ุฃุตุบุฑ this is
134
00:16:17,020 --> 00:16:22,670
correct answer 5% ูŠุฌุจ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู†
135
00:16:22,670 --> 00:16:23,290
ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู†
136
00:16:23,290 --> 00:16:27,050
ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู†
137
00:16:27,050 --> 00:16:28,670
ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู†
138
00:16:28,670 --> 00:16:29,650
ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู†
139
00:16:29,650 --> 00:16:29,670
ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู†
140
00:16:29,670 --> 00:16:42,110
ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู† ุชู†ุณู‰ ุฃู†
141
00:16:42,110 --> 00:16:42,470
ุชู†ุณ
142
00:16:46,190 --> 00:16:51,170
ุฅุฐุง ูƒู†ุช ุชุฑุบุจ ููŠ ุงู„ุชุฃูƒูŠุฏ ุฅุฐุง ูƒุงู† ู‡ู†ุงูƒ ุฃุซุงุฑุฉ ุจุฅู†
143
00:16:51,170 --> 00:16:54,970
ุงู„ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ุฃุดูŠุงุก ุงู„ู…ู‡ุชู…ุฉ ู‡ูŠ ุฃูƒุชุฑ ููŠ ุงู„ุฌูˆู„ุฉ
144
00:16:54,970 --> 00:17:02,290
ุงู„ุฃูˆู„ู‰ ู…ู† ุงู„ุฌูˆู„ุฉ ุงู„ุซุงู†ูŠุฉ ูˆุงู„ุชุฌุงุฑุจ ู„ู„ู€ Z ู‡ูŠ plus 2
145
00:17:02,290 --> 00:17:10,170
.07 ุฒูŠ
146
00:17:10,170 --> 00:17:12,790
2.07
147
00:17:15,740 --> 00:17:24,680
ูˆุจูŠุญูƒูŠ ุงู„ู€ proportion ู„ู€ group 1 ู…ุงู„ู‡ higher
148
00:17:24,680 --> 00:17:35,340
than proportion ู„ู€ group 2 where the
149
00:17:35,340 --> 00:17:37,960
difference is defined as group 1 proportion minus
150
00:17:37,960 --> 00:17:41,880
group 2 proportion the p value is equal to
151
00:17:46,790 --> 00:17:56,690
greater ูˆู„ุง ุฃู‚ู„ ู‡ุฐุง ุฃูƒุจุฑ ู…ุธุจูˆุท ูุจุงู„ุซุงู†ูŠุฉ one minus
152
00:17:56,690 --> 00:18:06,710
Z ุฃู‚ู„ one minus two point zero seven ู‡ุงูŠ ุงู„ table
153
00:18:06,710 --> 00:18:14,090
ู‡ุงูŠ
154
00:18:14,090 --> 00:18:15,770
ุงู„ zero ู„ุบุงูŠุฉ ุงู„ุณุจุนุฉ
155
00:18:21,600 --> 00:18:39,200
9808 ูŠุนู†ูŠ 0182 ู‡ุฐุง ู‚ูŠู…ุฉ ุงู„ู€ P value ุฅุฐุง
156
00:18:39,200 --> 00:18:43,560
ุงู„ P value ุงู„ุฌูˆุงุจ 0 182
157
00:18:48,780 --> 00:18:57,340
ู‡ุฐู‡ ุงู„ุณุคุงู„ ุชู„ุงุชุฉ ุณุจู†ุชู‰ ุซู„ุงุซุฉ ุซู„ุงุซุฉ
158
00:18:57,340 --> 00:19:00,960
ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰
159
00:19:00,960 --> 00:19:01,980
ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน
160
00:19:01,980 --> 00:19:02,880
ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰
161
00:19:02,880 --> 00:19:04,800
ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน
162
00:19:04,800 --> 00:19:05,400
ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰
163
00:19:05,400 --> 00:19:07,540
ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃุฑุจุน
164
00:19:07,540 --> 00:19:14,210
ุณุจู†ุชู‰ ุฃุฑุจุน ุณุจู†ุชู‰ ุฃู„ูˆ ุจุนู…ู„ testing ู„ู„ proportion
165
00:19:14,210 --> 00:19:22,210
ุจุณุชุฎุฏู… two tail ู…ู…ูƒู† ูˆุงุญุฏ ู…ู…ูƒู† ุฅุฐุง true ูˆุงุถุญ ู„ูƒู†
166
00:19:22,210 --> 00:19:27,430
ู„ูˆ ุญูƒู‰ you only ู„ูˆ ุญูƒู‰ only ุจุณ ุบู„ุท ู„ุงู† one tail ุฃูˆ
167
00:19:27,430 --> 00:19:36,970
two tail test ุงู„ุณุคุงู„
168
00:19:36,970 --> 00:19:39,910
ู‡ุฐุง ูŠุนู†ูŠ ู…ุง ูŠุนุทูŠูƒ output ุฌุงู‡ุฒ ูŠุนู†ูŠ ู…ุง ูŠุนุทูŠูƒ results
169
00:19:39,910 --> 00:19:46,550
ุฌุงู‡ุฒุฉ ุงู„ุณูŠู†ุงุฑูŠูˆ ู‡ูˆ ุนุดุฑุฉ ุชุณุนุฉ ูŠุนู†ูŠ ุฃู†ุง ู…ุด ู…ุง ุจุนุทูŠู†ูŠ
170
00:19:46,550 --> 00:19:52,230
ุงู„ู€ hypothesized difference zero ุงู„ level of
171
00:19:52,230 --> 00:19:55,390
significance point zero five ู…ุง ุจุนุทูˆู†ูŠ group one
172
00:19:55,390 --> 00:19:58,910
number of items of interest hundred and sixty
173
00:19:58,910 --> 00:20:05,250
sample size two hundred ูŠุนู†ูŠ ู‡ุฐุง Alpha ู…ุธุจูˆุท ูˆู‡ุฐุง
174
00:20:05,250 --> 00:20:10,990
n1 ู‡ุฐุง x1 ูˆู‡ุฐุง n1 group two
175
00:20:36,530 --> 00:20:37,930
x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x
176
00:20:41,090 --> 00:20:45,010
ุดูˆู ุฃู†ุง ููŠ ุงู„ุงู…ุชุญุงู† ู‡ุฑุงูŠุญูƒุŒ ู‡ุฌูŠุจ ู„ูƒ ุดุบู„ ุฒูŠ ูƒุฏู‡ุŒ
177
00:20:45,010 --> 00:20:48,090
ุฎู„ุงุตุŸ
178
00:20:48,090 --> 00:20:54,210
ุจุฏู„ ูˆุญุชูŠูƒู… ุฅูŠุด ุฃู†ุช ุจู‚ู‰ุŒ ู„ู…ุง ุจุชุณู…ุน ุงุณู… ุงู„ุงู…ุชุญุงู† ุฃูˆ
179
00:20:54,210 --> 00
216
00:24:12,430 --> 00:24:15,870
if
217
00:24:15,870 --> 00:24:21,130
there is any difference ุฃู†ุณู‰ ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ู‡ู†ุง ู…ุนู†ุงู‡
218
00:24:21,130 --> 00:24:29,170
ูƒุฏู‡ ุนุงูŠุฒ ุฃุนู…ู„ two greater than two point six eight
219
00:24:29,170 --> 00:24:46,990
ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ู‡ูŠูƒ ู…ุด ู‡ูŠูƒูˆุงุญุฏ ู†ุงู‚ุต 268
220
00:24:46,990 --> 00:24:57,390
ู‡ุงูŠ
221
00:24:57,390 --> 00:24:58,210
2.6
222
00:25:04,240 --> 00:25:12,140
.9963 ู…ุธุจูˆุท ุฅุฐุง .9963
223
00:25:12,140 --> 00:25:18,200
.0037
224
00:25:18,200 --> 00:25:23,560
.74
225
00:25:23,560 --> 00:25:27,460
ูุชู‚ุฑูŠุจุง ุงู„ุฌูˆุงุจ .0074
226
00:25:34,540 --> 00:25:40,760
ูˆุงุถุญ .007 ุฃู†ุง ูƒุชุจู‡ุง four ูˆ ุชู‚ุฑูŠุจุง .73 ูˆุงุถุญ ุฃู†ู‡
227
00:25:40,760 --> 00:25:46,620
ุชู‚ุฑูŠุจุง ู†ูุณ ุงู„ู„ูŠ ุฌุงุจู‡ุง ุจุณ ู…ู‚ุฑุจุฉ ู‡ุฐุง ู„ูˆ ูƒุงู† two
228
00:25:46,620 --> 00:25:50,480
-tailed ู„ูˆ ูƒุงู† one-tailed to the right ุฅูŠุด ุงู„ุฌูˆุงุจ
229
00:25:50,480 --> 00:25:57,420
ุญูŠูƒูˆู†ุŸ ู‡ุฐุง two-tailedุŒ ุจุธุจุทุŸ ุทูŠุจ ู„ูˆ ูƒุงู† one-tailed
230
00:25:59,080 --> 00:26:03,520
to the right ุงุชุด ุทุงู„ุน ู…ุนุงูŠุง to the right ุฑู‚ุต ูƒูˆูŠุณ
231
00:26:03,520 --> 00:26:08,400
ุงู„ุชู†ุชูŠู† ู…ุน ุจุนุถ ุงู„ z ุทู„ุนุช positive ู…ุธุจูˆุท ุงู„ z
232
00:26:08,400 --> 00:26:13,780
positive ุงู„ z ู‡ูŠู‡ุง ู„ูˆ ูƒุงู† to the right ูƒู„ ู…ุณุงุญุฉ
233
00:26:13,780 --> 00:26:17,300
ู‡ุฐู‡ ู…ุธุจูˆุท ุงู„ z greater ุฏู‡ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุง
234
00:26:17,300 --> 00:26:22,980
ุจุณ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ูู„ูˆ ุจู‚ุณู…ู‡ุง ุงุชู†ูŠู† ุงู„ุฌูˆุงุจุด ู‡ูŠุทู„ุน zero
235
00:26:22,980 --> 00:26:26,820
.0037 ุฎู„ุงุต
236
00:26:29,270 --> 00:26:37,790
ูˆู„ูˆ ูƒุงู†ุช one tailed to the left ุฅูŠุด ุงู„ุฌูˆุงุจุŸ to the
237
00:26:37,790 --> 00:26:41,910
left ูŠุนู†ูŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุงุŒ ู†ุธุงู…ุŸ z ุฃู‚ู„ุŒ ู„ุญุธุฉุŒ z
238
00:26:41,910 --> 00:26:46,450
ุฃู‚ู„ ูŠุนู†ูŠ positive ูƒู„ ุงู„ู…ุณุงุญุฉ ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ ูˆุงุญุฏ ู†ู‚ุต
239
00:26:46,450 --> 00:26:50,770
ุงู„ู„ูŠ ุทู„ุนุชู‡ุง ุฅุฐุง one minus .0037
240
00:26:50,770 --> 00:26:54,590
ูˆุงุถุญุŒ
241
00:26:54,590 --> 00:27:00,150
.9963 ุฃู†ุง ุจุญู‚ู‚ ุงู„ุณุคุงู„ ุชุงู†ูŠ ู…ุด ุฅุชุดุงุฑุงุช
242
00:27:00,150 --> 00:27:04,210
ุชุงู†ูŠุฉ ู†ุฑุฌุน ู„ู€ .75 ุงู„ู„ูŠ ุฒูŠ ุทู„ุนุช ู…ุนุงูŠุง ุงู„ู€ B value
243
00:27:04,210 --> 00:27:10,330
.0074 ุฒูŠ ุชู‚ุฑูŠุจุง ู…ุง ุฃุนุทุงู†ูŠู‡ุง ุงู„ู„ูŠ ุฃู†ุง ุจุญูƒูŠ ุจู†ุงุก ุนู„ู‰
244
00:27:10,330 --> 00:27:15,530
ูƒุฏู‡ ุฅูŠุด ุงู„ู‚ุฑุงุฑ ุชุจุนู†ุงุŸ ุฃูŠ ุญุงุฌุฉ ููŠู‡ุง don't reject ู…ุด
245
00:27:15,530 --> 00:27:23,250
ุตุญุŒ ู…ุธุจูˆุทุŸ ู„ุฃู† ู‡ุฐุง .0074 ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ less than
246
00:27:23,250 --> 00:27:29,640
AlphaุŒ ู…ุธุจูˆุทุŸ Alpha ูƒุฏู‡ ุฅูŠุด ูƒุงู†ุชุŸ ุฃุนุทุงู†ูŠู‡ุง 1% ุฃุนุชู‚ุฏ
247
00:27:29,640 --> 00:27:34,900
ุฃุนุทุงู†ูŠู‡ุง ูˆุงุญุฏุŒ ู…ุง ุญูƒูŠู†ุง ุนู„ูŠู‡ ู‡ูŠ ูˆุงุถุญ ุฃู†ู‡ุง ุฃุตุบุฑ ู…ู†
248
00:27:34,900 --> 00:27:39,020
ูˆุงุญุฏุŒ ุญุชู‰ ุฃุตุบุฑ ู…ู† ุฎู…ุณุฉุŒ .007 ู…ุงู„ุงูƒูŠุฏ ุงู„ุฃุตุบุฑ ู…ู† ูˆุงุญุฏ
249
00:27:39,020 --> 00:27:44,080
ุฃุตุบุฑ ู…ู† ุฎู…ุณุฉ ูˆู„ุง ู„ุฃุŸ ุงู„ู„ูŠ ู‚ุงู„ ู„ูˆ ู‚ูŠู…ุชูƒ ูƒุงู†ุช ุฃุตุบุฑ
250
00:27:44,080 --> 00:27:48,760
ู…ู† ูˆุงุญุฏุŒ ู„ูŠู‡ ุฃุตุบุฑ ู…ู† ุฎู…ุณุฉุŸ
251
00:27:48,760 --> 00:27:52,120
if P value is smaller than Alpha Alpha is one
252
00:27:52,120 --> 00:27:57,130
percent. I mean if we reject at one percent do we
253
00:27:57,130 --> 00:28:00,390
still reject at any level greater than alphaุŸ ุฃูƒูŠุฏ
254
00:28:00,390 --> 00:28:07,790
ุทูŠุจ ุทุจุนุง ุฅุฐุง ู‡ุฐู‡ ุบู„ุท ูˆู‡ุฐู‡ ุบู„ุท reject the null
255
00:28:07,790 --> 00:28:11,770
hypothesis there is enough evidence to conclude
256
00:28:11,770 --> 00:28:14,690
that there is significant difference ู‡ุฐู‡ ู…ุธุจูˆุทุฉ
257
00:28:14,690 --> 00:28:21,960
ุงู„ูุฑู‚ ุนู†ู‡ุง none ุฅุฐุง the correct answer is a ูˆุงุถุญ
258
00:28:21,960 --> 00:28:26,640
ุงู„ุฅุฌุงุจุฉ ุงู„ุตุญ ูŠุนู†ูŠ ุฃู† A ู‡ูˆ ุงู„ุฅุฌุงุจุฉ ุงู„ุตุญูŠุญุฉ ููŠ ุฃูŠ
259
00:28:26,640 --> 00:28:31,860
ุณุคุงู„ุŸ ุงู„ุนู…ู„ูŠุฉ ุณู‡ู„ุฉ ุงู„ู€ Z ู…ุงุชูŠู†ูŠ ุฅูŠุงู‡ุง ุทู„ุจุช ู…ู†ูƒ
260
00:28:31,860 --> 00:28:37,440
ุชุญุณุจ ุงู„ B value ู‡ูŠูƒ ุญุณุจุชู‡ุงุŸ ูˆุงุถุญ ุจุนุฏูŠู† ุทู„ุนู†ุง
261
00:28:37,440 --> 00:28:40,060
conclusion ู†ุญู† ู†ุชูุฑุฌ ุนู† ุงู„hypothesis ุงู„ู€ null it
262
00:28:40,060 --> 00:28:43,500
means there is enough evidence to conclude there
263
00:28:43,500 --> 00:28:45,800
is significant difference in the proportions of
264
00:28:45,800 --> 00:28:55,170
satisfied guests at the two resorts ุงู„ู„ูŠ ุจุนุฏู‡ ุงู„ู„ูŠ
265
00:28:55,170 --> 00:28:58,510
ุจุนุฏู‡ ุงู„ู„ูŠ ุจุนุฏู‡ ุจุญูƒูŠ referring to the same scenario
266
00:28:58,510 --> 00:29:04,810
10 9 if you want to test the claim that group one
267
00:29:04,810 --> 00:29:09,410
has higher proportion group one is higher the
268
00:29:09,410 --> 00:29:15,530
right one till is higher the b value will be is
269
00:29:15,530 --> 00:29:23,600
higher .0037 ู‡ูˆ ู…ุด ูˆุงุญุฏ ู„ู†ุงุงู„ู„ูŠ .00 ูˆุงู„ุฑุงุญุงุช ุงู„ู„ูŠ ู‡ูŠ
270
00:29:23,600 --> 00:29:30,560
one minus ู‡ุฏู‰ ูˆู„ุง ุงูŠ ูˆุงุญุฏุฉ ููŠู‡ู… ุงู„ .. ุงู†ุง ู…ุงุจุญูƒูŠ
271
00:29:30,560 --> 00:29:36,760
ุงูŠุด ู„ูˆ one .. tailed test ู‡ุงูŠ
272
00:29:36,760 --> 00:29:41,820
ุงู„ two-tailed ู…ู† ู…ุฑุฉ ุชุงู†ูŠุฉ ุงู„ two-tailed ุงู„ุฌูˆุงุจ
273
00:29:41,820 --> 00:29:49,320
ู‡ู†ุงุฎุฏ ุฌูˆุงุจ ู…ู† ุงู„ูƒุชุงุจ .0072 ูƒูˆูŠุณุŸ ู‡ุงุฏ ุงู„ two-tailed
274
00:29:50,740 --> 00:29:54,460
ุนุงูŠุฒุฉ one tail to the rightุŒ ุฅูŠุด ุจุนู…ู„ุŸ ุจุฌุณู…ู‡ุง
275
00:29:54,460 --> 00:29:59,800
ุงุชู†ูŠู†ุŒ ุฅุฐุง ุงู„ุฌูˆุงุจ ู…ูŠู†ุŸ ุงูŠู‡ุŸ ู„ุญุธุฉ ุจูŠู‡ one minus ู…ุด
276
00:29:59,800 --> 00:30:07,060
ุตุญุŒ ู…ุธุจูˆุทุŸ ู„ุฃู† ุงู„ุจุฑูˆุจุฑุช ุงู„ู„ูŠ ุทู„ุนุช ุทู„ุนุช ู„ two
277
00:30:07,060 --> 00:30:13,340
tailsุŒ ู…ุธุจูˆุทุŸ ู„ู‡ุงุฏูŠ ูˆู‡ุงุฏูŠุŒ ู‡ุงุฏูŠ ูˆู‡ุงุฏูŠ ู…ุน ุจุนุถ ุฅุฐุง
278
00:30:13,340 --> 00:30:15,920
ุงู„ correct answer is aุŒ ุงู„ู„ูŠ ุจุนุฏู‡
279
00:30:20,790 --> 00:30:23,230
ุฅุฐุง ูƒู†ุช ุชุฑุบุจ ููŠ ุชุฌุงุฑุฉ ุงู„ู€ CLIMB ูˆ ูƒุงู†ุช ุงู„ู…ุฌู…ูˆุนุฉ 1
280
00:30:23,230 --> 00:30:25,770
ู„ุฏูŠู‡ุง ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„
281
00:30:25,770 --> 00:30:31,230
ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„
282
00:30:31,230 --> 00:30:35,830
ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„
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ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„
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ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„ ุชู‚ู„ูŠู„
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ุชู‚ู„ูŠู„ ุชู‚
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ุดูˆู ุฃูŠ ุณุคุงู„ ุฃูŠ ุณุคุงู„ ุณูˆุงุก ููŠ ุงู„ homework ุฃูˆ ููŠ ู‡ุฐุง
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ุงู„ุงุณู„ุญุฉ ููŠู‡ุง confidence interval ุชู„ุบูŠู‡ู… ุงู†ุญู„
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ุงุฎุฑ ูˆุงุญุฏ ุงุฎุฑ ุณุคุงู„
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ุงู„ุฑุฆูŠุณ .. ู†ุนู…
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ุงู„ูุชูˆู‰ุŒ ุฑุฆูŠุณ ุงู„ู…ุฏุฑุณุฉ ู…ู‡ุชู… ุจุงู„ู…ู‚ุงุฑู†ุฉ ุจูŠู† ุงู„ู…ุฏุฑุณูŠู†
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ู…ู† ู…ุฏุฑุณุชู‡ ุงู„ุฐูŠู† ูŠู…ุชู„ูƒูˆุง ุนุฑุถ ุนู…ู„ ุนู„ู‰ ูŠูˆู… ุงู„ู…ุฏุฑุณุฉ ู‡ูˆ
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ู…ู‡ุชู… ุจุงู„ุชุญู‚ูŠู‚ ุฅุฐุง ูƒุงู† ู‡ู†ุงูƒ ุงุฎุชู„ุงู ููŠ ู‡ุฐู‡ ุงู„ู…ู‚ุงุฑู†ุฉ
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ู„ุชุญู‚ูŠู‚ ูˆู…ุนุงู„ุฌุฉ ุงู„ุงู‚ุชุตุงุฏูŠุฉ ูŠุนู†ูŠ ูู‡ูŠ ุนู†ุฏู‡ ุงุชูุงู‚ูŠู† ุงูˆ
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ุงู‚ุชุตุงุฏูŠุฉ ุงุชูุงู‚ูŠู† ุงูˆ ุงู‚ุชุตุงุฏูŠุฉ ุงุชูุงู‚ูŠู†
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In a random sample of a hundred of each type of
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major at graduation ุฃุฎุฏ ู…ูŠุฉ ู…ู† ุงู„ุฃูˆู„ูˆู…ูŠุฉ ู…ู†
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ุงู„ุชุงู†ูŠุฉ ู…ุด ุฎู…ุณูŠู† ุฎู…ุณูŠู† ู„ุงุญุธุด ุญูƒู‰ in a random
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sample of a hundred of each ู…ูŠุฉ ู…ู† ูƒู„ ูˆุงุญุฏ ูƒูˆูŠุณุฉ
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he found that 65 accounting majors 65 ู…ู† ู‡ู†ุง and
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52 economics majors ู‡ุฏูˆู„
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ู…ุง ู‡ู…ู‡ูˆ ูŠุฌุจ ุฃู† ูŠูƒูˆู† ู„ุฏูŠู‡ ุนุฑุถ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„
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ูˆูŠุฌุจ ุฃู† ูŠูƒูˆู† ู„ุฏูŠู‡ ุนุฑุถ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู†
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ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ
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ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู†
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ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู†
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ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู†
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00:33:04,440 --> 00:33:12,970
ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† ูŠุฌุฏ ุนู…ู„ ูˆูŠุฌุจ ุฃู† referring to this
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scenario the hypo .. the hypothesis the Dean
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should be used are ุฅูŠุด hypothesisุŸ null and
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alternate ู‡ูˆ ุฅูŠุด ุญูƒู‰ุŸ ุจูƒ ุชุทู„ุน ุงู„ู…ุซู„ุฉุŒ ุจุญูƒูŠ he is
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interested in seeing if there is significant
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difference in this proportion ู…ุง ุญูƒูŠุด ู…ูŠู† ุฃูƒุจุฑุŒ
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ู…ุธู‡ุฑุŒ ู…ุฑุฉ ุชุงู†ูŠุฉ ู‡ูˆ ุญูƒู‰ interest in seeing if there
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is a difference ููŠ ูุฑู‚ ุงูˆ ู„ุง ู…ุน ูƒุฏู‡ ูŠุดูŠุฒ ุฌูˆุงุจ
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ุงู„ุตุญู‰ two-tailed test ุงุฐุง ุงู„ุฌูˆุงุจ ุงู…ุง a ุง ููŠ ู„ุง
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ูŠุณุงูˆูŠ ููŠ ุงู„ู†ุงู„ ุทุจุนุง ุฎุทุฃ ุจูŠ ุงู„ุตุญ ุงู„ู„ูŠ ู„ุง ูŠุณุงูˆูŠ
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ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ alternative hypothesis ุงุฐุง ุจูŠ is the
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correct answer
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ุฎู„ุงุตุŸ ููŠู‡ ุณุคุงู„ุŸ stop at this point and next time
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shall continue