options: Summarize and describe distributions.

Draw informal comparative inferences about two populations.

Understand independence and conditional probability and use them to interpret data.

Use random sampling to draw inferences about a population.

Develop understanding of statistical variability.

Make inferences and justify conclusions from sample surveys, experiments, and observational studies.

Calculate expected values and use them to solve problems.

Investigate patterns of association in bivariate data.

Summarize, represent, and interpret data on two categorical and quantitative variables.

Use probability to evaluate outcomes of decisions.

Understand and evaluate random processes underlying statistical experiments.

Summarize, represent, and interpret data on a single count or measurement variable.

Interpret linear models.

Use the rules of probability to compute probabilities of compound events in a uniform probability model.

Investigate chance processes and develop, use, and evaluate probability models.
problem_activity: Task
The 54 students in one of several middle school classrooms were asked two questions about musical preferences: “Do you like rock?” “Do you like rap?” The responses are summarized in the table below.
{"table": [{"tbody": [{"tr": [{"td": [{}], "th": [{"_value": "Likes Rap"}, {"_value": "Doesn't Like Rap"}, {"_value": "Row Totals"}]}, {"th": [{"_value": "Likes Rock"}], "td": [{"_value": "27"}, {"_value": "6"}, {"_value": "33"}]}, {"th": [{"_value": "Doesn't Like Rock"}], "td": [{"_value": "4"}, {"_value": "17"}, {"_value": "21"}]}, {"th": [{"_value": "Column Totals"}], "td": [{"_value": "31"}, {"_value": "23"}, {"_value": "54"}]}]}]}]}
Is this a random sample, one that fairly represents the opinions of all students in the middle school?
What percentage of the students in the classroom like rock?
Is there evidence in this sample of a positive association in this class between liking rock and liking rap? Justify your answer by pointing out a feature of the table that supports it.
Explain why the results for this classroom might not generalize to the entire middle school.


correct_option_index: 8

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