Test the claim that the proportion of people who own cats is larger than 90% at the 0.01 significance level. The null and alternative hypothesis would be:   H0:μ=0.9H0:μ=0.9 Ha:μ<0.9Ha:μ<0.9   H0:p=0.9H0:p=0.9 Ha:p<0.9Ha:p<0.9   H0:μ=0.9H0:μ=0.9 Ha:μ>0.9Ha:μ>0.9   H0:p=0.9H0:p=0.9 Ha:p>0.9Ha:p>0.9   H0:p=0.9H0:p=0.9 Ha:p≠0.9Ha:p≠0.9   H0:μ=0.9H0:μ=0.9 Ha:μ≠0.9Ha:μ≠0.9 The test is:   left-tailed right-tailed two-tailed Based on a sample of 600 people, 93% owned cats The test statistic is:  (to 2 decimals) The p-value is:  (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

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Test the claim that the proportion of people who own cats is larger than 90% at the 0.01 significance level.

The null and alternative hypothesis would be:

 

H0:μ=0.9H0:μ=0.9
Ha:μ<0.9Ha:μ<0.9
 
H0:p=0.9H0:p=0.9
Ha:p<0.9Ha:p<0.9
 
H0:μ=0.9H0:μ=0.9
Ha:μ>0.9Ha:μ>0.9
 
H0:p=0.9H0:p=0.9
Ha:p>0.9Ha:p>0.9
 
H0:p=0.9H0:p=0.9
Ha:p≠0.9Ha:p≠0.9
 
H0:μ=0.9H0:μ=0.9
Ha:μ≠0.9Ha:μ≠0.9



The test is:

 

left-tailed
right-tailed
two-tailed



Based on a sample of 600 people, 93% owned cats

The test statistic is:  (to 2 decimals)

The p-value is:  (to 2 decimals)

Based on this we:

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