Test the claim that the proportion of men who own cats is larger than the proportion of women who own cats at the .025 significance level. The null and alternative hypothesis would be: Ho: M= μF Ho: PM=PF Ho: PM=PF Ho: M= μF Ho: M= F Ho: PM = PF H₁: µm<µF H₁:pm>pf H₁: pm ‡ pf H₁: µM > µF H₁: µm ‡ µf H₁: PM

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Test the claim that the proportion of men who own cats is larger than the proportion of women who own
cats at the .025 significance level.
The null and alternative hypothesis would be:
Ho: M= F Ho: PM = PF Ho: PM=PF H₁ μM = μF Ho: M= μF Ho: PM = PF
H₁ μM <μF H₁: PM > PF H₁: PM / PF H₁ μM > μF H₁: µM # µF H₁: PM <PF
The test is:
two-tailed left-tailed right-tailed
Based on a sample of 40 men, 35% owned cats
Based on a sample of 40 women, 60% owned cats
The test statistic is:
The critical value is:
4
(to 2 decimals)
(to 2 decimals)
Transcribed Image Text:Test the claim that the proportion of men who own cats is larger than the proportion of women who own cats at the .025 significance level. The null and alternative hypothesis would be: Ho: M= F Ho: PM = PF Ho: PM=PF H₁ μM = μF Ho: M= μF Ho: PM = PF H₁ μM <μF H₁: PM > PF H₁: PM / PF H₁ μM > μF H₁: µM # µF H₁: PM <PF The test is: two-tailed left-tailed right-tailed Based on a sample of 40 men, 35% owned cats Based on a sample of 40 women, 60% owned cats The test statistic is: The critical value is: 4 (to 2 decimals) (to 2 decimals)
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