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Question 12: Test the claim that the proportion of men who own cats is larger than 50% at the .005 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:μ=0.5H0:μ=0.5 H1:μ<0.5H1:μ<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:p=0.5H0:p=0.5 H1:p>0.5H1:p>0.5 The test is: left-tailed two-tailed right-tailed Based on a sample of 100 people, 53% owned cats The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

Question 12: Test the claim that the proportion of men who own cats is larger than 50% at the .005 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:μ=0.5H0:μ=0.5 H1:μ<0.5H1:μ<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:p=0.5H0:p=0.5 H1:p>0.5H1:p>0.5 The test is: left-tailed two-tailed right-tailed Based on a sample of 100 people, 53% owned cats The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 9E
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Question 12: Test the claim that the proportion of men who own cats is larger than 50% at the .005 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:μ=0.5H0:μ=0.5
H1:μ<0.5H1:μ<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:p=0.5H0:p=0.5
H1:p>0.5H1:p>0.5



The test is:

left-tailed
two-tailed
right-tailed



Based on a sample of 100 people, 53% owned cats

The test statistic is:  (to 2 decimals)

The critical value is:  (to 2 decimals)

Based on this we:

  • Reject the null hypothesis
  • Fail to reject the null hypothesis
Test the claim that the proportion of men who own cats is larger than 50% at the .005 significance level. The null and alternative hypothesis would be: = Ho: p= 0.5 Ho:μ = 0.5 Ho:μ 0.5 Ho:μ = 0.5 Ho:p = 0.5 H₁: p0.5 H₁:μ> 0.5 H₁:μ< 0.5 H₁: 0.5 H₁:p < 0.5 Ho: p = 0.5 H₁: p > 0.5 The test is: left-tailed two-tailed right-tailed Based on a sample of 100 people, 53% owned cats The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis
Transcribed Image Text:Test the claim that the proportion of men who own cats is larger than 50% at the .005 significance level. The null and alternative hypothesis would be: = Ho: p= 0.5 Ho:μ = 0.5 Ho:μ 0.5 Ho:μ = 0.5 Ho:p = 0.5 H₁: p0.5 H₁:μ> 0.5 H₁:μ< 0.5 H₁: 0.5 H₁:p < 0.5 Ho: p = 0.5 H₁: p > 0.5 The test is: left-tailed two-tailed right-tailed Based on a sample of 100 people, 53% owned cats The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis
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