(b) The proportion of adults living in a small town who are college graduates is estimated to = 0.6. To test this hypothesis, a random sample of 15 adults is selected. If the numb college graduates in the sample is anywhere from 6 to 12, we shall not reject the

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(b) The proportion of adults living in a small town who are college graduates is estimated to be p
= 0.6. To test this hypothesis, a random sample of 15 adults is selected. If the number of
college graduates in the sample is anywhere from 6 to 12, we shall not reject the null
hypothesis that p = 0.6; otherwise, we shall conclude that p = 0.6. (a) Evaluate a assuming
that p = 0.6. Use the binomial distribution. (b) Evaluate B for the alternatives p = 0.5 and p =
0.7. (c) Is this a good test procedure?
Transcribed Image Text:(b) The proportion of adults living in a small town who are college graduates is estimated to be p = 0.6. To test this hypothesis, a random sample of 15 adults is selected. If the number of college graduates in the sample is anywhere from 6 to 12, we shall not reject the null hypothesis that p = 0.6; otherwise, we shall conclude that p = 0.6. (a) Evaluate a assuming that p = 0.6. Use the binomial distribution. (b) Evaluate B for the alternatives p = 0.5 and p = 0.7. (c) Is this a good test procedure?
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