Suppose that in all 100 hypothesis tests that Pete has performed so far, 50 of them were in a situation where the null hypothesis was true, and 50 of them were in a situation where the alternative hypothesis was true. Assume all 100 of his hypothesis tests were of the same size, and they were all of the same power. Let a denote the probability that Pete made a Type I Error, given the conditions under which a Type | Error can occur. Let ẞ denote the probability that Pete made a Type II Error, given the conditions under which a Type Il Error can occur. If we select a random hypothesis test that Pete has performed, what is the probability that Pete made a Type | Error or a Type II Error?
Suppose that in all 100 hypothesis tests that Pete has performed so far, 50 of them were in a situation where the null hypothesis was true, and 50 of them were in a situation where the alternative hypothesis was true. Assume all 100 of his hypothesis tests were of the same size, and they were all of the same power. Let a denote the probability that Pete made a Type I Error, given the conditions under which a Type | Error can occur. Let ẞ denote the probability that Pete made a Type II Error, given the conditions under which a Type Il Error can occur. If we select a random hypothesis test that Pete has performed, what is the probability that Pete made a Type | Error or a Type II Error?
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Transcribed Image Text:Suppose that in all 100 hypothesis tests that Pete has performed so far, 50 of them were in a
situation where the null hypothesis was true, and 50 of them were in a situation where the
alternative hypothesis was true. Assume all 100 of his hypothesis tests were of the same size, and
they were all of the same power.
Let a denote the probability that Pete made a Type I Error, given the conditions under which a Type
| Error can occur.
Let ẞ denote the probability that Pete made a Type II Error, given the conditions under which a Type
Il Error can occur.
If we select a random hypothesis test that Pete has performed, what is the probability that Pete
made a Type | Error or a Type II Error?
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