To test H0: p = 0.25 versus H1: p 0.25, a simple random sample of n = 350 individuals is

Chapter 10, Problem 8

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To test H0: p = 0.25 versus H1: p 0.25, a simple random sample of n = 350 individuals is obtained and x = 74 successes are observed. (a) What does it mean to make a Type II error for this test? (b) If the researcher decides to test this hypothesis at the a = 0.05 level of significance, compute the probability of making a Type II error if the true population proportion is 0.23. What is the power of the test? (c) Redo part (b) if the true population proportion is 0.28.

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