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

question 704

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

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