Test the claim that the proportion of people who own cats is smaller than 20% at the 0.10 significance level. The null and alternative hypothesis would be:   H0:p≥0.2H0:p≥0.2 H1:p<0.2H1:p<0.2 H0:p=0.2H0:p=0.2 H1:p≠0.2H1:p≠0.2 H0:p≤0.2H0:p≤0.2 H1:p>0.2H1:p>0.2 H0:μ=0.2H0:μ=0.2 H1:μ≠0.2H1:μ≠0.2 H0:μ≥0.2H0:μ≥0.2 H1:μ<0.2H1:μ<0.2 H0:μ≤0.2H0:μ≤0.2 H1:μ>0.2H1:μ>0.2 The test is:   right-tailed two-tailed left-tailed Based on a sample of 100 people, 14% 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 smaller than 20% at the 0.10 significance level.

The null and alternative hypothesis would be:

 

H0:p≥0.2H0:p≥0.2
H1:p<0.2H1:p<0.2
H0:p=0.2H0:p=0.2
H1:p≠0.2H1:p≠0.2
H0:p≤0.2H0:p≤0.2
H1:p>0.2H1:p>0.2
H0:μ=0.2H0:μ=0.2
H1:μ≠0.2H1:μ≠0.2
H0:μ≥0.2H0:μ≥0.2
H1:μ<0.2H1:μ<0.2
H0:μ≤0.2H0:μ≤0.2
H1:μ>0.2H1:μ>0.2



The test is:

 

right-tailed
two-tailed
left-tailed



Based on a sample of 100 people, 14% 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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