Test the claim that the proportion of men who own cats is smaller than 80% at the 0.01 significance level. The null and alternative hypothesis would be: H0:μ≤0.8H0:μ≤0.8 H1:μ>0.8H1:μ>0.8 H0:μ=0.8H0:μ=0.8 H1:μ≠0.8H1:μ≠0.8 H0:p≤0.8H0:p≤0.8 H1:p>0.8H1:p>0.8 H0:p≥0.8H0:p≥0.8 H1:p<0.8H1:p<0.8 H0:p=0.8H0:p=0.8 H1:p≠0.8H1:p≠0.8 H0:μ≥0.8H0:μ≥0.8 H1:μ<0.8H1:μ<0.8 The test is: left-tailed right-tailed two-tailed Based on a sample of 700 people, 74% owned cats The test statistic is:  (to 2 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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Test the claim that the proportion of men who own cats is smaller than 80% at the 0.01 significance level.

The null and alternative hypothesis would be:

H0:μ≤0.8H0:μ≤0.8
H1:μ>0.8H1:μ>0.8
H0:μ=0.8H0:μ=0.8
H1:μ≠0.8H1:μ≠0.8
H0:p≤0.8H0:p≤0.8
H1:p>0.8H1:p>0.8
H0:p≥0.8H0:p≥0.8
H1:p<0.8H1:p<0.8
H0:p=0.8H0:p=0.8
H1:p≠0.8H1:p≠0.8
H0:μ≥0.8H0:μ≥0.8
H1:μ<0.8H1:μ<0.8



The test is:

left-tailed
right-tailed
two-tailed



Based on a sample of 700 people, 74% owned cats

The test statistic is:  (to 2 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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