Test the claim that the proportion of men who own cats is larger than 30% at the .10 significance level. The null and alternative hypothesis would be: 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: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 The test is: left-tailed two-tailed right-tailed Based on a sample of 25 people, 39% 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 larger than 30% at the .10 significance level.

The null and alternative hypothesis would be:

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: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



The test is:

left-tailed
two-tailed
right-tailed



Based on a sample of 25 people, 39% 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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