To test H0 p 0 30 versus H1 p 0 30, a simple random sample of n 300 individuals is obtained and x 86 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 0 05 level of significance, compute the probability of making a Type II error if the true population proportion is 0 28 What is the power of the test (c) Redo part (b) if the true population proportion is 0 25

Question: To test H0: p = 0.30 versus H1: p 0.30, a simple random sample of n = 300 individuals is obtained and x =

To test H0: p = 0.30 versus H1: p ˂ 0.30, a simple random sample of n = 300 individuals is obtained and x = 86 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 α = 0.05 level of significance, compute the probability of making a Type II error if the true population proportion is 0.28. What is the power of the test?

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