Homework Help is Here – Start Your Trial Now!
Math
Statistics
A university health services physician is concerned about how much sleep freshman are getting. She asks a simple random sample of 50 students if they got at least 8 hours of sleep the previous night. Then she constructs a 95% confidence interval for the true proportion of all freshman college students who got at lea 8 hours of sleep the previous night. (a) Explain what would happen to the length of the interval if the confidence level were decreased to 90%. (b) Explain what you would expect to happen to the length of the interval if the sample size was increased to 500 students. (c) After calculating the interval, the physician realizes that the sample was drawn only from the 70% of freshman who had turned in their health forms by the time they arrived on campus. This is an example of undercoverage. Can she adjust the confidence interval to take this undercoverage into account? If so how? If not, why not?

A university health services physician is concerned about how much sleep freshman are getting. She asks a simple random sample of 50 students if they got at least 8 hours of sleep the previous night. Then she constructs a 95% confidence interval for the true proportion of all freshman college students who got at lea 8 hours of sleep the previous night. (a) Explain what would happen to the length of the interval if the confidence level were decreased to 90%. (b) Explain what you would expect to happen to the length of the interval if the sample size was increased to 500 students. (c) After calculating the interval, the physician realizes that the sample was drawn only from the 70% of freshman who had turned in their health forms by the time they arrived on campus. This is an example of undercoverage. Can she adjust the confidence interval to take this undercoverage into account? If so how? If not, why not?

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
2. A university health services physician is concerned about how much sleep freshman are getting. She asks a simple random sample of 50 students if they got at least 8 hours of sleep the previous night. Then she constructs a 95% confidence interval for the true proportion of all freshman college students who got at least 8 hours of sleep the previous night. (a) Explain what would happen to the length of the interval if the confidence level were decreased to 90%. (b) Explain what you would expect to happen to the length of the interval if the sample size was increased to 500 students. (c) After calculating the interval, the physician realizes that the sample was drawn only from the 70% of freshman who had turned in their health forms by the time they arrived on campus. This is an example of undercoverage. Can she adjust the confidence interval to take this undercoverage into account? If so, how? If not, why not?
Transcribed Image Text:2. A university health services physician is concerned about how much sleep freshman are getting. She asks a simple random sample of 50 students if they got at least 8 hours of sleep the previous night. Then she constructs a 95% confidence interval for the true proportion of all freshman college students who got at least 8 hours of sleep the previous night. (a) Explain what would happen to the length of the interval if the confidence level were decreased to 90%. (b) Explain what you would expect to happen to the length of the interval if the sample size was increased to 500 students. (c) After calculating the interval, the physician realizes that the sample was drawn only from the 70% of freshman who had turned in their health forms by the time they arrived on campus. This is an example of undercoverage. Can she adjust the confidence interval to take this undercoverage into account? If so, how? If not, why not?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE 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