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

question 699

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

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