class08-3-handouts

# class08-3-handouts - PSTAT 120B Probability& Statistics...

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Unformatted text preview: PSTAT 120B - Probability & Statistics Class # 08-3- P-values Jarad Niemi University of California, Santa Barbara 21 May 2010 Jarad Niemi (UCSB) P-values 21 May 2010 1 / 15 Class overview Announcements Announcements Homework Homework 6 due Monday, 24 May @ 4pm in SH 5521 Won’t be returned until Friday 28 May Mid-term II #6 was incorrect in the answer key, so if you have answer c and have it marked incorrect, see me. Jarad Niemi (UCSB) P-values 21 May 2010 2 / 15 Class overview Goals P-values Practical versus statistical significance Jarad Niemi (UCSB) P-values 21 May 2010 3 / 15 Review Problems In hypothesis testing, β is the probability of committing an error of Type II. The power of the test, 1- β is then: the probability of (a) rejecting H when H a is true (b) failing to reject H when H a is true (c) rejecting H when H a is false (d) failing to reject H when H a is false Is power an error? No Which of the above are errors? b,c Since β =P(not rejecting H when H a is true) then power 1- β =P(rejecting H when H a is true), so the answer is (a) Jarad Niemi (UCSB) P-values 21 May 2010 4 / 15 Review Problems If I run an 0.05-level test and fail to reject the null hypothesis which of the following is true about a 0.01-level test using the same data and hypothesis? (a) the null hypothesis will be rejected (b) the null hypothesis will not be rejected (c) not enough information As α gets smaller, the rejection region gets smaller. Therefore it will be harder to reject. So (b) is the answer....
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class08-3-handouts - PSTAT 120B Probability& Statistics...

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