(а) A study is interested in the proportion of postgraduate students who have met the criteria of depression during their study periods. In a random sample of 50 postgraduate students, 15 are found to be afflicted. Use the normal distribution table to construct a 98% confidence interval for the proportion of postgraduate students who have experienced depression. What can we assert with 98% confidence about the possible size of our error if we estimate the proportion to be 0.30?

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
(a)
A study is interested in the proportion of postgraduate students who have met the
criteria of depression during their study periods. In a random sample of 50 postgraduate
students, 15 are found to be afflicted. Use the normal distribution table to construct a
98% confidence interval for the proportion of postgraduate students who have
experienced depression. What can we assert with 98% confidence about the possible
size of our error if we estimate the proportion to be 0.30?
Transcribed Image Text:(a) A study is interested in the proportion of postgraduate students who have met the criteria of depression during their study periods. In a random sample of 50 postgraduate students, 15 are found to be afflicted. Use the normal distribution table to construct a 98% confidence interval for the proportion of postgraduate students who have experienced depression. What can we assert with 98% confidence about the possible size of our error if we estimate the proportion to be 0.30?
Expert Solution
steps

Step by step

Solved in 2 steps

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