Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.02 significance level. The null and alternative hypothesis would be: Ho: MF Ho: PM = PF H₁: MMF O H₁:PM > PF O Ho: PM = PF H₁: PM MF H₁:PM #PF O O H₁: MM < μF O

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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Test the claim that the proportion of men who own cats is significantly different than the proportion of
women who own cats at the 0.02 significance level.
The null and alternative hypothesis would be:
Ho: M = μF Ho: PM = PF
H₁ μM μF H₁:PM > PF
The test is:
left-tailed right-tailed two-tailed
Based on a sample of 60 men, 30% owned cats
Based on a sample of 40 women, 45% owned cats
The test statistic is:
Ho: PM = PF
H₁: PM < PF
The p-value is:
Based on this we:
O Reject the null hypothesis
O Fail to reject the null hypothesis
Ho: M = μF
H₁: MM > μF
(to 2 decimals)
(to 2 decimals)
Ho: PM = PF Ho: M = μF
H₁:PM ‡ PF H₁: μM < MF
Transcribed Image Text:Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.02 significance level. The null and alternative hypothesis would be: Ho: M = μF Ho: PM = PF H₁ μM μF H₁:PM > PF The test is: left-tailed right-tailed two-tailed Based on a sample of 60 men, 30% owned cats Based on a sample of 40 women, 45% owned cats The test statistic is: Ho: PM = PF H₁: PM < PF The p-value is: Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis Ho: M = μF H₁: MM > μF (to 2 decimals) (to 2 decimals) Ho: PM = PF Ho: M = μF H₁:PM ‡ PF H₁: μM < MF
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