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AP® Statistics

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Moderate

Sample Size and Significance: Who Has the Greatest Power?

APSTAT-CXGCFQ

In a hypothesis test, ${ H }_{ 0 }:p=0.8$ versus ${ H }_{ a }:p>0.8$ the power of the test $p=0.8$ would be the greatest for which of the following choices of sample size $n$ and significance level $\alpha $ ?

A

$n=140\qquad \alpha =0.05$

B

$n=240\qquad \alpha =0.05$

C

$n=140\qquad \alpha =0.10$

D

$n=240\qquad \alpha =0.10$

E

It cannot be determined from the information given.