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?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

[Statistics] How do you solve this? thanks

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 2 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,