Test the claim that the proportion of men who own cats is significantly different than 20% 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
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Test the claim that the proportion of men who own cats is significantly different than 20% at the 0.02 significance level.

The null and alternative hypothesis would be:

H0:p≤0.2


H1:p>0.2

 
H0:μ≤0.2


H1:μ>0.2

 
H0:μ≥0.2


H1:μ<0.2

 
H0:p≥0.2


H1:p<0.2

 
H0:μ=0.2


H1:μ≠0.2

 
H0:p=0.2


H1:p≠0.2

 



The test is:

two-tailed
left-tailed
right-tailed



Based on a sample of 200 people, 22% owned cats

The test statistic is: (to 2 decimals)

The positive critical value is: (to 2 decimals)

Based on this we:

  • Fail to reject the null hypothesis
  • Reject the null hypothesis
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