Test the claim that the proportion of people who own cats is smaller than 10% at the 0.05 significance level. The null and alternative hypothesis would be:   H0:p≤0.1H0:p≤0.1 H1:p>0.1H1:p>0.1 H0:p=0.1H0:p=0.1 H1:p≠0.1H1:p≠0.1 H0:p≥0.1H0:p≥0.1 H1:p<0.1H1:p<0.1 H0:μ=0.1H0:μ=0.1 H1:μ≠0.1H1:μ≠0.1 H0:μ≥0.1H0:μ≥0.1 H1:μ<0.1H1:μ<0.1 H0:μ≤0.1H0:μ≤0.1 H1:μ>0.1H1:μ>0.1 The test is:   two-tailed right-tailed left-tailed Based on a sample of 500 people, 8% owned cats 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 10% at the 0.05 significance level.

The null and alternative hypothesis would be:

 

H0:p≤0.1H0:p≤0.1
H1:p>0.1H1:p>0.1
H0:p=0.1H0:p=0.1
H1:p≠0.1H1:p≠0.1
H0:p≥0.1H0:p≥0.1
H1:p<0.1H1:p<0.1
H0:μ=0.1H0:μ=0.1
H1:μ≠0.1H1:μ≠0.1
H0:μ≥0.1H0:μ≥0.1
H1:μ<0.1H1:μ<0.1
H0:μ≤0.1H0:μ≤0.1
H1:μ>0.1H1:μ>0.1



The test is:

 

two-tailed
right-tailed
left-tailed



Based on a sample of 500 people, 8% owned cats

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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