We Will Test the Hypothesis That $p = 60 \%$ Versus $p > 60 \%$

Multiple Choice

We will test the hypothesis that $p = 60 \%$ versus $p > 60 \%$ . We don't know it, but actually $p$ is $70 \%$ . With which sample size and significance level will our test have the greatest power?

A) $\alpha = 0.05 , n = 500$
B) The power will be the same so long as the true proportion $p$ remains $70 \%$ .
C) $\alpha = 0.01 , n = 200$
D) $\alpha = 0.01 , n = 500$
E) $\alpha = 0.05 , n = 200$