A university will add fruit juice vending machines to its classroom buildings if the student body president is convinced that more than 20 percent of the students will use them. A random sample of n students will be selected and asked whether or not they would use the vending machines. A large-sample test for proportions at the significance level of a = 0.05 will be performed. The null hypothesis that the proportion of all students who would use the vending machines is 20 percent will be tested against the alternative that more than 20 percent of all students would use them. For which of the following situations would the power of the test be highest? O The sample size is n = 1,000, and 25 percent of all students use the vending machines The sample size is n = 1,000, and 50 percent of all students use the vending machines. O The sample size is n = 500, and 50 percent of all students use the vending machines. O The sample size is n = 750, and 20 percent of all students use the vending %3D machines. O The sample size is n = 750, and 25 percent of all students use the vending machines
A university will add fruit juice vending machines to its classroom buildings if the student body president is convinced that more than 20 percent of the students will use them. A random sample of n students will be selected and asked whether or not they would use the vending machines. A large-sample test for proportions at the significance level of a = 0.05 will be performed. The null hypothesis that the proportion of all students who would use the vending machines is 20 percent will be tested against the alternative that more than 20 percent of all students would use them. For which of the following situations would the power of the test be highest? O The sample size is n = 1,000, and 25 percent of all students use the vending machines The sample size is n = 1,000, and 50 percent of all students use the vending machines. O The sample size is n = 500, and 50 percent of all students use the vending machines. O The sample size is n = 750, and 20 percent of all students use the vending %3D machines. O The sample size is n = 750, and 25 percent of all students use the vending machines
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A university will add fruit juice vending machines to its classroom
buildings if the student body president is convinced that more than 20
percent of the students will use them. A random sample of n students
will be selected and asked whether or not they would use the vending
machines. A large-sample test for proportions at the significance level
of a = 0.05 will be performed. The null hypothesis that the proportion
of all students who would use the vending machines is 20 percent will
be tested against the alternative that more than 20 percent of all
students would use them. For which of the following situations would
the power of the test be highest?
O The sample size is n = 1,000, and 25 percent of all students use the vending
machines
The sample size is n = 1,000, and 50 percent of all students use the vending
machines.
O The sample size is n = 500, and 50 percent of all students use the vending
machines.
O The sample size is n = 750, and 20 percent of all students use the vending
%3D
machines.
O The sample size is n = 750, and 25 percent of all students use the vending
machines
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