Test the claim that the proportion of people who own cats is smaller than 90% at the 0.025 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: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: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 The test is: two-tailed right-tailed left-tailed Based on a sample of 200 people, 85% owned cats 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 smaller than 90% at the 0.025 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: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: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


The test is:

two-tailed
right-tailed
left-tailed



Based on a sample of 200 people, 85% owned cats

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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