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

Question 382

Multiple Choice

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


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

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