Test the claim that the proportion of people who own cats is significantly different than 50% at the 0.01 significance level. The null and alternative hypothesis would be:   H0:p=0.5H0:p=0.5 H1:p≠0.5H1:p≠0.5 H0:μ=0.5H0:μ=0.5 H1:μ≠0.5H1:μ≠0.5 H0:p≤0.5H0:p≤0.5 H1:p>0.5H1:p>0.5 H0:μ≥0.5H0:μ≥0.5 H1:μ<0.5H1:μ<0.5 H0:p≥0.5H0:p≥0.5 H1:p<0.5H1:p<0.5 H0:μ≤0.5H0:μ≤0.5 H1:μ>0.5H1:μ>0.5 The test is:   left-tailed two-tailed right-tailed Based on a sample of 700 people, 43% 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 significantly different than 50% at the 0.01 significance level.

The null and alternative hypothesis would be:

 

H0:p=0.5H0:p=0.5
H1:p≠0.5H1:p≠0.5
H0:μ=0.5H0:μ=0.5
H1:μ≠0.5H1:μ≠0.5
H0:p≤0.5H0:p≤0.5
H1:p>0.5H1:p>0.5
H0:μ≥0.5H0:μ≥0.5
H1:μ<0.5H1:μ<0.5
H0:p≥0.5H0:p≥0.5
H1:p<0.5H1:p<0.5
H0:μ≤0.5H0:μ≤0.5
H1:μ>0.5H1:μ>0.5



The test is:

 

left-tailed
two-tailed
right-tailed



Based on a sample of 700 people, 43% 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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