To test Upper H0: p = 0.70 versus Upper H1: p > 0.70, a simple random sample of

Question

To test Upper H0: p = 0.70 versus Upper H1: p > 0.70, a simple random sample of n=200 individuals is obtained and x=69 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 0.76.

What is the power of the test?

(c) Redo part (b) if the true population proportion is 0.78.

Explanation / Answer

To test Upper H0: p = 0.70 versus Upper H1: p > 0.70, a simple random sample of

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