Two researchers are testing the null hypothesis that a population proportion p is equal to 0.30, and the alternative hypothesis that π = 0.30. Both take samples of 100 observations. Researcher A finds a sample proportion of 0.29, and Researcher B finds a sample proportion of 0.34. For which researcher will the p-value of the test be smaller? Explain without actually doing any computations.

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 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Two researchers are testing the null hypothesis that a population proportion p is equal to 0.30, and the alternative hypothesis that π = 0.30. Both take samples of 100 observations. Researcher A finds a sample proportion of 0.29, and Researcher B finds a sample proportion of 0.34. For which researcher will the p-value of the test be smaller? Explain without actually doing any computations.

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