We test the hypothesis that $p = 35 \%$ versus $p

Question

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) $\alpha = 0.01 , n = 400$

Quizplus · Accepted Answer

The Answer of 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) $\alpha = 0.01 , n = 400$

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

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