A doctor claims that less than 30 percent of individuals who are exposed to a certain amount of radiation will feel any ill effects. To test her claim, a random sample of individuals who are exposed to such radiation is selected and a hypothesis test is carried out. Suppose the significance level is a = 0.05 and that the true proportion of individuals who are exposed to the radiation and feel any ill effects is 22 percent. What is the sample size for this study to achieve 0.75 for the power of the test?

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

[Statistics] How do you solve this?

A doctor claims that less than 30 percent of individuals who are exposed to a certain amount of radiation will
feel any ill effects. To test her claim, a random sample of individuals who are exposed to such radiation is
selected and a hypothesis test is carried out. Suppose the significance level is a = 0.05 and that the true
proportion of individuals who are exposed to the radiation and feel any ill effects is 22 percent. What is the
sample size for this study to achieve 0.75 for the power of the test?
Transcribed Image Text:A doctor claims that less than 30 percent of individuals who are exposed to a certain amount of radiation will feel any ill effects. To test her claim, a random sample of individuals who are exposed to such radiation is selected and a hypothesis test is carried out. Suppose the significance level is a = 0.05 and that the true proportion of individuals who are exposed to the radiation and feel any ill effects is 22 percent. What is the sample size for this study to achieve 0.75 for the power of the test?
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Similar 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