Suppose you wish to find out the answer to the age-old question, "Do people prefer Cola 1 or Cola 2?" You conduct a blind taste test in which individuals are randomly asked to drink one of the colas first, followed by the other cola, and then asked to disclose which drink they prefer. Results of your taste test indicate that 51 of 100 individuals prefer Cola 2. Complete parts a through c. (a) Conduct a hypothesis test (preferably using technology) Ho P=Po versus H₁: p#Po for Po = 0.40, 0.41, 0.42, 0.60, 0.61, 0.62 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 0.42 and 0.60, inclusively (Type integers or decimals. Do not round.) (b) Construct a 95% confidence interval for the proportion of individuals who prefer Cola 2. We are 95% confident the proportion of individuals who prefer Cola 2 is between and (Type integers or decimals rounded to three decimal places as needed.) 4 (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 helow

# Suppose you wish to find out the answer to the age-old question, "Do people prefer Cola 1 or Cola 2?" You conduct a blind taste test in which individuals are randomly asked to drink one of the colas first, followed by the other cola, and then asked to disclose which drink they prefer. Results of your taste test indicate that 51 of 100 individuals prefer Cola 2. Complete parts a through c. (a) Conduct a hypothesis test (preferably using technology) Ho P=Po versus H₁: p#Po for Po = 0.40, 0.41, 0.42, 0.60, 0.61, 0.62 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 0.42 and 0.60, inclusively (Type integers or decimals. Do not round.) (b) Construct a 95% confidence interval for the proportion of individuals who prefer Cola 2. We are 95% confident the proportion of individuals who prefer Cola 2 is between and (Type integers or decimals rounded to three decimal places as needed.) 4 (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 helow

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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Suppose you wish to find out the answer to the age-old question, "Do people prefer Cola 1 or Cola 27?”You conduct a bind taste test in which individuals are randomly asked to drink one of the colas first, followed by the other cola, and then asked to disclose which drink they prefer. Results of your taste test indicate that 51 of 100 individuals prefer Cola 2. Complete parts a through c.

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