Question: In testing the null hypothesis that p = 0:3 against the alternative that p 0:3, the probability of a type II error is ______

In testing the null hypothesis that p = 0:3 against the alternative that p ≠ 0:3, the probability of a type II error is ______ when the true p = 0:4 than when p = 0:6. 

(1) the same 

(2) smaller 

(3) larger 

(4) none of the above

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