About how large a sample is needed to test the hypothesis of equal probabilities so that P(type II error) = 0.05 when p1 =0.40 and p2 = 0.60, if the hypothesis is rejected when p-value is less than 0.01?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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About how large a sample is needed to test the hypothesis of equal probabilities so that P(type II error) = 0.05 when p1 =0.40 and p2 = 0.60, if the hypothesis is rejected when p-value is less than 0.01?
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