A survey of randomly selected university students found that 91 of the 106 first-year students and 96 of the 141 second-year students surveyed had purchased used textbooks in the past year.

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

Please provide answers

A survey of randomly selected university students found that 91 of the 106 first-year students and 96 of the 141 second-year students
surveyed had purchased used textbooks in the past year.
(a) Construct a 98% confidence interval for the difference in the proportions of first-year and second-year university students who
purchased used toxtbooks. (Round your answers to 4 decimal places, if needed.)
Answer:
(b) If a 99% confidence interval for the difference in proportion of first-year and second-year university students who purchased used
textbooks is (0.0441, 0.3112). Give an interpretation of this confidence interval.
O we are 99% confident that, at this university, the proportion of second-year students who bought used textbooks is between 4.41%
and 31.12% higher than the proportion of first-year students who bought used textbooks.
O we know that 99% of all random samples done on the population will show that the proportion of first-year students who bought
used textbooks is between 4.41% and 31.12% higher than the proportion of second-year students who bought used textbooks.
O We are 99% confident that, at this university, the proportion of first-year students who bought used textbooks is between 4,41% and
31.12% higher than the proportion of second-year students who bought used textbooks.
O we are 99% confident that the first-year students at this university bought between 4.41% and 31.12% more used textbooks than
second-year students.
O we know that 99% of the first-year students bought betwean 4.41% and 31.12% higher than the proportion of second-year students
who bought used textbooks.
Transcribed Image Text:A survey of randomly selected university students found that 91 of the 106 first-year students and 96 of the 141 second-year students surveyed had purchased used textbooks in the past year. (a) Construct a 98% confidence interval for the difference in the proportions of first-year and second-year university students who purchased used toxtbooks. (Round your answers to 4 decimal places, if needed.) Answer: (b) If a 99% confidence interval for the difference in proportion of first-year and second-year university students who purchased used textbooks is (0.0441, 0.3112). Give an interpretation of this confidence interval. O we are 99% confident that, at this university, the proportion of second-year students who bought used textbooks is between 4.41% and 31.12% higher than the proportion of first-year students who bought used textbooks. O we know that 99% of all random samples done on the population will show that the proportion of first-year students who bought used textbooks is between 4.41% and 31.12% higher than the proportion of second-year students who bought used textbooks. O We are 99% confident that, at this university, the proportion of first-year students who bought used textbooks is between 4,41% and 31.12% higher than the proportion of second-year students who bought used textbooks. O we are 99% confident that the first-year students at this university bought between 4.41% and 31.12% more used textbooks than second-year students. O we know that 99% of the first-year students bought betwean 4.41% and 31.12% higher than the proportion of second-year students who bought used textbooks.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
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