Test the claim that the proportion of men who own cats is smaller than 20% at the .10 significance l

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Test the claim that the proportion of men who own cats is smaller than 20% at the .10 significance level.

The null and alternative hypothesis would be:
  • H0:P=0.2
    H1:P>0.2
  • H0:U=0.2
    H1:U>0.2
  • H0:U=0.2
    H1:U≠0.2
  • H0:P=0.2
    H1:P<0.2
  • H0:P=0.2
    H1:P≠0.2
  • H0:U=0.2
    H1:U<0.2


Based on a sample of 45 people, 13% owned cats

The test statistic is  (to 3 decimals)

The critical value is  (to 2 decimals)

Based on this we
  • Fail to reject the null hypothesis
  • Reject the null hypothesis
 
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