Question: To test H 0 : p = 0.40 versus H 1 : p 7 0.40, a simple random sample of n = 200 individuals is

To test H₀: p = 0.40 versus H₁: p 7 0.40, a simple random sample of n = 200 individuals is obtained and x = 84 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 0.44. What is the power of the test?

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