7. David and Yukiko are each attempting to estimate the proportion of OSU students who live more than 20 miles away from campus. David surveys a random sample of n = 472 students and finds that 227 of the students in his sample live more than 20 miles from campus. Yukiko surveys a random sample of n = 1025 students and finds that 492 of the students in her sample live more than 20 miles from campus. If David and Yukiko each construct a 95% confidence interval based on their respective sample data, we’d expect David’s interval to have A. the same margin of error as Yukiko’s interval. B. a larger margin of error than Yukiko’s interval because his sample size is smaller than Yukiko’s sample size. C. a smaller margin of error than Yukiko’s interval because his sample size is smaller than Yukiko’s sample size. D. a larger margin of error than Yukiko’s interval because, compared to Yukiko’s sample, a smaller number of the students surveyed by David said they live more than 20 miles from campus. E. a smaller margin of error than Yukiko’s interval because, compared to Yukiko’s sample, a smaller number of the students surveyed by David said they

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
7. David and Yukiko are each attempting to estimate the proportion of OSU students who live more than 20 miles away from campus. David surveys a random sample of n = 472 students and finds that 227 of the students in his sample live more than 20 miles from campus. Yukiko surveys a random sample of n = 1025 students and finds that 492 of the students in her sample live more than 20 miles from campus. If David and Yukiko each construct a 95% confidence interval based on their respective sample data, we’d expect David’s interval to have A. the same margin of error as Yukiko’s interval. B. a larger margin of error than Yukiko’s interval because his sample size is smaller than Yukiko’s sample size. C. a smaller margin of error than Yukiko’s interval because his sample size is smaller than Yukiko’s sample size. D. a larger margin of error than Yukiko’s interval because, compared to Yukiko’s sample, a smaller number of the students surveyed by David said they live more than 20 miles from campus. E. a smaller margin of error than Yukiko’s interval because, compared to Yukiko’s sample, a smaller number of the students surveyed by David said they
Expert Solution
steps

Step by step

Solved in 2 steps

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