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The proportion of adults living in a small town who are college graduates is estimated to be p = 0.3. To test this hypothesis, a random sample of 200 adults is selected. If the number of college graduates in the sample is anywhere in the fail-to-reject region defined to be 52≤x≤ 68, where x is the number of college graduates in our sample, we shall not reject the null hypothesis that p = 0.3; otherwise, we shall conclude that p# 0.3. Complete parts (a) through (c) below. Use the normal approximation. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Evaluate a assuming that p = 0.3. a = 0.1896 (Round to four decimal places as needed.) (b) Evaluate ẞ for the alternatives p = 0.2 and p = 0.4. For the alternative p=0.2, p = 0.0210. (Round to four decimal places as needed.) For the alternative p = 0.4, B = . (Round to four decimal places as needed.)

The proportion of adults living in a small town who are college graduates is estimated to be p = 0.3. To test this hypothesis, a random sample of 200 adults is selected. If the number of college graduates in the sample is anywhere in the fail-to-reject region defined to be 52≤x≤ 68, where x is the number of college graduates in our sample, we shall not reject the null hypothesis that p = 0.3; otherwise, we shall conclude that p# 0.3. Complete parts (a) through (c) below. Use the normal approximation. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Evaluate a assuming that p = 0.3. a = 0.1896 (Round to four decimal places as needed.) (b) Evaluate ẞ for the alternatives p = 0.2 and p = 0.4. For the alternative p=0.2, p = 0.0210. (Round to four decimal places as needed.) For the alternative p = 0.4, B = . (Round to four decimal places as needed.)

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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The proportion of adults living in a small town who are college graduates is estimated to be p = 0.3. To test this hypothesis, a random sample of 200 adults is selected. If the number of college graduates in the sample is anywhere in the fail-to-reject region defined to be 52≤x≤ 68, where x is the number of college graduates in our sample, we shall not reject the null hypothesis that p = 0.3; otherwise, we shall conclude that p# 0.3. Complete parts (a) through (c) below. Use the normal approximation. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Evaluate & assuming that p = 0.3. a = 0.1896 (Round to four decimal places as needed.) (b) Evaluate ẞ for the alternatives p = 0.2 and p = 0.4. For the alternative p = 0.2, p = 0.0210. (Round to four decimal places as needed.) For the alternative p = 0.4, B = (Round to four decimal places as needed.)
Transcribed Image Text:The proportion of adults living in a small town who are college graduates is estimated to be p = 0.3. To test this hypothesis, a random sample of 200 adults is selected. If the number of college graduates in the sample is anywhere in the fail-to-reject region defined to be 52≤x≤ 68, where x is the number of college graduates in our sample, we shall not reject the null hypothesis that p = 0.3; otherwise, we shall conclude that p# 0.3. Complete parts (a) through (c) below. Use the normal approximation. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Evaluate & assuming that p = 0.3. a = 0.1896 (Round to four decimal places as needed.) (b) Evaluate ẞ for the alternatives p = 0.2 and p = 0.4. For the alternative p = 0.2, p = 0.0210. (Round to four decimal places as needed.) For the alternative p = 0.4, B = (Round to four decimal places as needed.)
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