Question 16: Test the claim that the proportion of people who own cats is larger than 50% at the 0.005 significance level. The null and alternative hypothesis would be:   H0:μ=0.5H0:μ=0.5 H1:μ≠0.5H1:μ≠0.5 H0:p≤0.5H0:p≤0.5

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Question 16: Test the claim that the proportion of people who own cats is larger than 50% at the 0.005 significance level.

The null and alternative hypothesis would be:

 

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
H0:p≥0.5H0:p≥0.5
H1:p<0.5H1:p<0.5



The test is:

 

left-tailed
right-tailed
two-tailed



Based on a sample of 200 people, 56% 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
Test the claim that the proportion of people who own cats is larger than 50% at the 0.005 significance
level.
The null and alternative hypothesis would be:
=
Ho: 0.5 Ho:p ≤ 0.5 Ho: < 0.5
H₁: 0.5 H₁:p> 0.5 H₁:μ> 0.5
Ho:p = 0.5 Ho: 0.5 Ho:p> 0.5
H₁:p0.5 H₁: < 0.5 H₁: p < 0.5
The test is:
left-tailed right-tailed two-tailed
O
O
Based on a sample of 200 people, 56% owned cats
The test statistic is:
(to 2 decimals)
The p-value is:
Based on this we:
O Fail to reject the null hypothesis
O Reject the null hypothesis
(to 2 decimals)
Transcribed Image Text:Test the claim that the proportion of people who own cats is larger than 50% at the 0.005 significance level. The null and alternative hypothesis would be: = Ho: 0.5 Ho:p ≤ 0.5 Ho: < 0.5 H₁: 0.5 H₁:p> 0.5 H₁:μ> 0.5 Ho:p = 0.5 Ho: 0.5 Ho:p> 0.5 H₁:p0.5 H₁: < 0.5 H₁: p < 0.5 The test is: left-tailed right-tailed two-tailed O O Based on a sample of 200 people, 56% owned cats The test statistic is: (to 2 decimals) The p-value is: Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis (to 2 decimals)
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