To test H0 p 0 75 versus H1 p 6 0 75, a simple random sample of n 400 individuals is obtained and x 280 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 01 level of significance, compute the probability of making a Type II error if the true population proportion is 0 71 What is the power of the test (c) Redo part (b) if the true population proportion is 0 68

Question: To test H0: p = 0.75 versus H1: p 6 < 0.75, a simple random sample of n = 400 individuals is obtained and x

To test H0: p = 0.75 versus H1: p 6 < 0.75, a simple random sample of n = 400 individuals is obtained and x = 280 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 = 0.01 level of significance, compute
the probability of making a Type II error if the true population proportion is 0.71. What is the
power of the test?
(c) Redo part (b) if the true population proportion is 0.68.

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