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
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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
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 (α) = 0.02

sample size (n) = 200

Sample proportion owned cats (p) = 31% = 0.31

 

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