Test the claim that the proportion of men who own cats is smaller than 20% at the .01 significance level. The null and alternative hypothesis would be: H0:μ=0.2H0:μ=0.2 H1:μ≠0.2H1:μ≠0.2 H0:μ=0.2H0:μ=0.2 H1:μ>0.2H1:μ>0.2 H0:p=0.2H0:p=0.2 H1:p>0.2H1:p>0.2 H0:p=0.2H0:p=0.2 H1:p≠0.2H1:p≠0.2 H0:p=0.2H0:p=0.2 H1:p<0.2H1:p<0.2 H0:μ=0.2H0:μ=0.2 H1:μ<0.2H1:μ<0.2 The test is: right-tailed left-tailed two-tailed Based on a sample of 40 people, 25%25%  owned cats The p-value is:  (to 2 decimals) Based on this we: Fail to reject the null hypothesis Reject the null hypothesis

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Test the claim that the proportion of men who own cats is smaller than 20% at the .01 significance level.

The null and alternative hypothesis would be:

H0:μ=0.2H0:μ=0.2
H1:μ≠0.2H1:μ≠0.2
H0:μ=0.2H0:μ=0.2
H1:μ>0.2H1:μ>0.2
H0:p=0.2H0:p=0.2
H1:p>0.2H1:p>0.2
H0:p=0.2H0:p=0.2
H1:p≠0.2H1:p≠0.2
H0:p=0.2H0:p=0.2
H1:p<0.2H1:p<0.2
H0:μ=0.2H0:μ=0.2
H1:μ<0.2H1:μ<0.2



The test is:

right-tailed
left-tailed
two-tailed



Based on a sample of 40 people, 25%25%  owned cats

The p-value is:  (to 2 decimals)

Based on this we:

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