A blind taste test is conducted to determine which of two colas, Brand A or Brand B, individuals prefer. Individuals are randomly asked to drink one of the two types of cola first, followed by the other cola, and then asked to disclose the drink they prefer. Results of the taste test indicate that 45 of 100 individuals prefer Brand A. Complete parts a through c. ..... (a) Conduct a hypothesis test (preferably using technology) H: p=Po versus H,: p#Po for po = 0.34, 0.35, 0.36, ., 0.54, 0.55, 0.56 at the a= 0.05 level of significance. For which values of po do you not reject the null hypothesis? What do each of the values of po represent? Do not reject the null hypothesis for the values of po between and, inclusively. (Type integers or decimals as needed.) (b) Construct a 95% confidence interval for the proportion of individuals who prefer Brand A. The lower bound is The upper bound is (Round to three decimal places as needed.) (c) Suppose you changed the level of significance in conducting the hypothesis test to a = 0.01. What would happen to the range of values for po for which the null hypothesis is not rejected? Why does this make sense? Choose the correct answer below. O A. The range of values would decrease because the corresponding confidence interval would decrease in size. O B. The range of values would increase because the corresponding confidence interval would decrease in size. O C. The range of values would decrease because the corresponding confidence interval would increase in size. O D. The range of values would increase because the corresponding confidence interval would increase in size.

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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Transcribed Image Text:A blind taste test is conducted to determine which of two colas, Brand A or Brand B, individuals prefer. Individuals are randomly asked to drink one of the two types of cola first, followed by the other cola, and then asked to disclose the drink they prefer. Results of the taste test indicate that 45 of 100 individuals prefer Brand A. Complete parts a through c. ..... (a) Conduct a hypothesis test (preferably using technology) Ho: p= Po versus H,: p# Po for po = 0.34, 0.35, 0.36, ., 0.54, 0.55, 0.56 at the a = 0.05 level of significance. For which values of po do you not reject the null hypothesis? What do each of the values of po represent? Do not reject the null hypothesis for the values of po between (Type integers or decimals as needed.) and inclusively. (b) Construct a 95% confidence interval for the proportion of individuals who prefer Brand A. The lower bound is The upper bound is (Round to three decimal places as needed.) (c) Suppose you changed the level of significance in conducting the hypothesis test to a = 0.01. What would happen to the range of values for p, for which the null hypothesis is not rejected? Why does this make sense? Choose the correct answer below. O A. The range of values would decrease because the corresponding confidence interval would decrease in size. O B. The range of values would increase because the corresponding confidence interval would decrease in size. OC. The range of values would decrease because the corresponding confidence interval would increase in size. D. The range of values would increase because the corresponding confidence interval would increase in size.

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