Test the claim that the proportion of men who own cats is significantly different than 40% at the 0.02 significance level.
Test the claim that the proportion of men who own cats is significantly different than 40% at the 0.02 significance level.
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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Question

Transcribed Image Text:Test the claim that the proportion of men who own cats is significantly different than 40% at the 0.02
significance level.
The null and alternative hypothesis would be:
Ho:µ < 0.4 Ho:p > 0.4 Ho:p< 0.4 Ho:p= 0.4 Ho:µ= 0.4 Ho:µ > 0.4
H1:µ > 0.4 Hị:p< 0.4 H1:p > 0.4 H1:p+ 0.4 H1:µ + 0.4 H1:µ < 0.4
The test is:
left-tailed two-tailed right-tailed
Based on a sample of 200 people, 31% owned cats
The test statistic is:
(to 2 decimals)
The positive critical value is:
|(to 2 decimals)
Based on this we:
O Fail to reject the null hypothesis
O Reject the null hypothesis
Expert Solution

Step 1- Writing given data
Given that
Claim : The proportion of men who owns cats is significantly different than 40%
Hypothesized proportion (P) = 0.40
Level of significance () = 0.02
sample size (n) = 200
Sample proportion owned cats (p) = 31% = 0.31
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