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# Sample Size and Significance: Who Has the Smallest Power?

APSTAT-5VZJRX

In a hypothesis test, ${ H }_{ 0 }:p=0.75$ versus ${ H }_{ a }:p<0.75$, the power of the test $p=0.75$ would be the smallest for which of the following choices of sample size $n$ and significance level $\alpha$ ?

A

$n=110\qquad \alpha =0.01$

B

$n=110\qquad \alpha =0.05$

C

$n=210\qquad \alpha =0.01$

D

$n=210\qquad \alpha =0.05$

E

The answer cannot be determined from the information given.