Test the claim that the proportion of people who own cats is smaller than 90% at the 0.01 significance level. The null and alternative hypothesis would be:   H0:μ=0.9H0:μ=0.9 H1:μ≠0.9H1:μ≠0.9   H0:p≥0.9H0:p≥0.9 H1:p<0.9H1:p<0.9   H0:μ≥0.9H0:μ≥0.9 H1:μ<0.9H1:μ<0.9   H0:μ≤0.9H0:μ≤0.9 H1:μ>0.9H1:μ>0.9   H0:p≤0.9H0:p≤0.9 H1:p>0.9H1:p>0.9   H0:p=0.9H0:p=0.9 H1:p≠0.9H1:p≠0.9 The test is:   left-tailed two-tailed right-tailed Based on a sample of 800 people, 84% owned cats The test statistic is:  (to 2 decimals) The p-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 people who own cats is smaller than 90% at the 0.01 significance level.

The null and alternative hypothesis would be:

 

H0:μ=0.9H0:μ=0.9
H1:μ≠0.9H1:μ≠0.9
 
H0:p≥0.9H0:p≥0.9
H1:p<0.9H1:p<0.9
 
H0:μ≥0.9H0:μ≥0.9
H1:μ<0.9H1:μ<0.9
 
H0:μ≤0.9H0:μ≤0.9
H1:μ>0.9H1:μ>0.9
 
H0:p≤0.9H0:p≤0.9
H1:p>0.9H1:p>0.9
 
H0:p=0.9H0:p=0.9
H1:p≠0.9H1:p≠0.9



The test is:

 

left-tailed
two-tailed
right-tailed



Based on a sample of 800 people, 84% owned cats

The test statistic is:  (to 2 decimals)

The p-value is:  (to 2 decimals)

Based on this we:

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