At a local bar in North Park, 57% of bargoers order their specialized homemade beer. They advertise theirhomemade beer and want to know if the proportion has increased. From 140 randomly selected customers, 67%of the 140 ordered the specialized homemade beer. Our test is given as,Ho: p = 0.57 Ha: p > 0.57with a p-value of 0.0084. The manager at the bar concludes the probability that the population proportion isgreater than 0.57 is 0.0084. Is he correct or incorrect in his interpretation? Explain your reasoning.

Population proportion is p=0.57. Sample size is n=140. Sample proportion is p^=0.67. The hypotheses…

Answered: At a local bar in North Park, 57% of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Find the standardized test , z to test the claim that p1 = p2. The sample statistics listed below are from independent samples.
a survey is conducted to compare the proportions of men and women whoaccess their bank statements online. Denoting the population propotions by Pm and Pw, a two-proportion z-test is carried out to test Ho: pm = pw against Ha: pm > pw. The values of the test statistic is found to be z = 0.784, and the p-value for the test is found to be 0.216. Which of the following is the correct interpretation of the p-value? a) given that ha is true, the probability of getting a value of z at least as large as 0.784 is 0.216. b) given that ho is true, the probability of getting a value of z at least as large as 0.784 is 0.216. c) given the results of the survey, the probability that Pm > Pw is 0.216. d) given the results of the survey, the probability that Pm = Pw is 0.216. e) none of the above
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a survey is conducted to compare the proportions of men and women whoaccess their bank statements online. Denoting the population propotions by Pm and Pw, a two-proportion z-test is carried out to test Ho: pm = pw against Ha: pm > pw. The values of the test statistic is found to be z = 0.784, and the p-value for the test is found to be 0.216. Which of the following is the correct interpretation of the p-value? a) given that ha is true, the probability of getting a value of z at least as large as 0.784 is 0.216. b) given the results of the survey, the probability that Pm > Pw is 0.216. c) given the results of the survey, the probability that Pm = Pw is 0.216. d) none of the above
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