Homework Help is Here – Start Your Trial Now!
Math
Statistics
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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
100%
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.
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) Hop=Po versus H₁: ppo 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? CCCD 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 (Type integers or decimals rounded to three decimal places as needed.) 99+ (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 H and Next
Transcribed Image Text: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) Hop=Po versus H₁: ppo 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? CCCD 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 (Type integers or decimals rounded to three decimal places as needed.) 99+ (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 H and Next
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. хуг- (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. F OA. The range of values would increase because the corresponding confidence interval would increase in size. OB. The range of values would decrease because the corresponding confidence interval would decrease in size. OC. The range of values would increase because the corresponding confidence interval would decrease in size. OD. The range of values would decrease because the corresponding confidence interval would increase in size. 99+ Next G
Transcribed Image Text: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. хуг- (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. F OA. The range of values would increase because the corresponding confidence interval would increase in size. OB. The range of values would decrease because the corresponding confidence interval would decrease in size. OC. The range of values would increase because the corresponding confidence interval would decrease in size. OD. The range of values would decrease because the corresponding confidence interval would increase in size. 99+ Next G
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS