Assertion: hypothesis's probability | /r/HasProperty | small
Facets:
value: very
type: DEGREE
value: below the significance value
type: OTHER
value: sufficiently
type: DEGREE
Source sentences:
text: If this estimated probability (the P value) is small enough (below the significance value), then you conclude that it is unlikely that the null hypothesis is true; you reject the null hypothesis and accept an alternative hypothesis.
text: There is always the possibility of creating an exceedingly outlandish scenario to explain away any hypothesis of a detective or prosecution lawyer, but judges and juries in courts eventually make the decision that the probability of such eventualities are 'small' and the chance of the hypothesis being correct 'high'.
text: If that probability is sufficiently small we're confident concluding the null hypothesis is false
text: If this probability is very small (see example 2), then that means that it would be very surprising to get data like that observed (or more extreme) if Ho were true.
text: The rare event rule states that if an assumption is made and the probability of a certain observed event is very small, then the assumption is most likely incorrect.
text: accept” in your mind, as long as you remind yourself that the result is probabilistic and that even an “accepted” null hypothesis still has a small probability of being wrong.