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) $\alpha = 0.05 , n = 200$

Question

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) $\alpha = 0.05 , n = 200$

Quizplus · Accepted Answer

The Answer is A

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

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