10.6 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. = 0.6. Use the binomial distribution. (a) Evaluate a assuming that p (b) Evaluate for the alternatives p = (c) Is this a good test procedure? 0.5 and p = 0.7. 10.7 Repeat Exercise 10.6 but assume that 200 adults are selected and the fail-to-reject region is defined to be 110 ≤ x ≤ 130, where is the number of college graduates in our sample. Use the normal approximation.
10.6 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. = 0.6. Use the binomial distribution. (a) Evaluate a assuming that p (b) Evaluate for the alternatives p = (c) Is this a good test procedure? 0.5 and p = 0.7. 10.7 Repeat Exercise 10.6 but assume that 200 adults are selected and the fail-to-reject region is defined to be 110 ≤ x ≤ 130, where is the number of college graduates in our sample. Use the normal approximation.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Please answer question 10.7. Thank you in advance!
Transcribed Image Text:10.6 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 ß for the alternatives p = 0.5 and p = 0.7.
(c) Is this a good test procedure?
10.7 Repeat Exercise 10.6 but assume that 200 adults are selected and the
fail-to-reject region is defined to be 110 ≤ x ≤ 130, where x is the
number of college graduates in our sample. Use the normal
approximation.
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