We Test the Hypothesis That $p = 35 \%$ Versus $p < 35 \%$

Multiple Choice

We test the hypothesis that $p = 35 \%$ versus $p < 35 \%$ . We don't know it but actually $p = 26 \%$ . With which sample size and significance level will our test have the greatest power?

A) $\alpha = 0.03 , n = 400$
B) $\alpha = 0.03 , n = 250$
C) $\alpha = 0.01 , n = 250$
D) The power will be the same as long as the true proportion $p$ remains $26 \%$
E) $\alpha = 0.01 , n = 400$