A statistician selects a sample of 20 participants and makes the decision to retain the null hypothesis. He conducts the same study testing the same hypothesis with a sample of 100 participants and makes the decision to reject the null hypothesis. What likely explanation for why the two samples led to different decisions?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 1E: A binomial experiment is UDC in which there are exactly __________ outcome. One outcome is called...
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A statistician selects a sample of 20 participants and makes the decision to retain the
null hypothesis. He conducts the same study testing the same hypothesis with a
sample of 100 participants and makes the decision to reject the null hypothesis. What likely explanation for why the two samples led to different decisions?

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