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Null hypothesis

In testing the null hypothesis H0: P=0.6 vs the alternative H1 : P < 0.6 for a binomial model b(n,p), the rejection region of a test has the structure X ≤ c, where X is the number of successes in n trials. For each of the following tests, determine the level of significance and the probability of type II error at the alternative p = .3.

n = 10, c = 2
n = 10, c = 3
n = 19, c = 7

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