Test the claim that the proportion of people who own cats is larger than 20% at the 0.05 significance level.The null and alternative hypothesis would be:   H0:p≤0.2H1:p>0.2   H0:p≥0.2H1:p<0.2   H0:μ≥0.2H1:μ<0.2   H0:μ=0.2H1:μ≠0.2   H0:μ≤0.2H1:μ>0.2   H0:p=0.2H1:p≠0.2 The test is:   left-tailed two-tailed right-tailed Based on a sample of 400 people, 28% owned catsThe 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 larger than 20% at the 0.05 significance level.

The null and alternative hypothesis would be:

 

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



The test is:

 

left-tailed
two-tailed
right-tailed



Based on a sample of 400 people, 28% 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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