Test the claim that the proportion of men who own cats is larger than 50% at the .025 significance level. The null and alternative hypothesis would be: H0:μ=0.5H0:μ=0.5 H1:μ≠0.5H1:μ≠0.5 H0:p=0.5H0:p=0.5 H1:p>0.5H1:p>0.5 H0:p=0.5H0:p=0.5 H1:p<0.5H1:p<0.5 H0:p=0.5H0:p=0.5 H1:p≠0.5H1:p≠0.5 H0:μ=0.5H0:μ=0.5 H1:μ>0.5H1:μ>0.5 H0:μ=0.5H0:μ=0.5 H1:μ<0.5H1:μ<0.5 The test is: left-tailed right-tailed two-tailed Based on a sample of 25 people, 51% 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

Question

Test the claim that the proportion of men who own cats is larger than 50% at the .025 significance level.

The null and alternative hypothesis would be:

H0:μ=0.5H0:μ=0.5
H1:μ≠0.5H1:μ≠0.5
H0:p=0.5H0:p=0.5
H1:p>0.5H1:p>0.5
H0:p=0.5H0:p=0.5
H1:p<0.5H1:p<0.5
H0:p=0.5H0:p=0.5
H1:p≠0.5H1:p≠0.5
H0:μ=0.5H0:μ=0.5
H1:μ>0.5H1:μ>0.5
H0:μ=0.5H0:μ=0.5
H1:μ<0.5H1:μ<0.5



The test is:

left-tailed
right-tailed
two-tailed



Based on a sample of 25 people, 51% 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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