Test the claim that the proportion of men who own cats is larger than 30% at the .01 significance level.The null and alternative hypothesis would be: H0:μ=0.3H0:μ=0.3H1:μ<0.3H1:μ<0.3 H0:μ=0.3H0:μ=0.3H1:μ≠0.3H1:μ≠0.3 H0:μ=0.3H0:μ=0.3H1:μ>0.3H1:μ>0.3 H0:p=0.3H0:p=0.3H1:p<0.3H1:p<0.3 H0:p=0.3H0:p=0.3H1:p≠0.3H1:p≠0.3 H0:p=0.3H0:p=0.3H1:p>0.3H1:p>0.3 The test is: left-tailed right-tailed two-tailed Based on a sample of 75 people, 39% owned catsThe 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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Test the claim that the proportion of men who own cats is larger than 30% at the .01 significance level.

The null and alternative hypothesis would be:

H0:μ=0.3H0:μ=0.3
H1:μ<0.3H1:μ<0.3
H0:μ=0.3H0:μ=0.3
H1:μ≠0.3H1:μ≠0.3
H0:μ=0.3H0:μ=0.3
H1:μ>0.3H1:μ>0.3
H0:p=0.3H0:p=0.3
H1:p<0.3H1:p<0.3
H0:p=0.3H0:p=0.3
H1:p≠0.3H1:p≠0.3
H0:p=0.3H0:p=0.3
H1:p>0.3H1:p>0.3



The test is:

left-tailed
right-tailed
two-tailed



Based on a sample of 75 people, 39% 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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