You want to estimate the difference between two population proportions using an 80% confidence interval. You need to take samples that are large enough, so that the width of the confidence interval does not exceed 5.0%. You wish to take two samples (one from each population) of the same size n. The populations have not been sampled before, and therefore you have no information about what the two proportions may be. Using the most conservative estimates for the two population proportions, what is the minimum sample size you will need (for both of the samples)? (Round the result up to the nearest integer.)

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
Topic Video
Question

You want to estimate the difference between two population proportions using an 80% confidence interval. You need to take samples that are large enough, so that the width of the confidence interval does not exceed 5.0%. You wish to take two samples (one from each population) of the same size n. The populations have not been sampled before, and therefore you have no information about what the two proportions may be.

Using the most conservative estimates for the two population proportions, what is the minimum sample size you will need (for both of the samples)? (Round the result up to the nearest integer.)

Expert Solution
steps

Step by step

Solved in 3 steps with 10 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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