Test the claim that the proportion of men who own cats is smaller than the proportion of women who owncats at the .025 significance level.The null and alternative hypothesis would be:Ho MMF Ho: PM = PFH₁: MMFOH₁: PM > PFOThe test is:two-tailed right-tailedOThe test statistic is:Based on a sample of 60 men, 25% owned catsBased on a sample of 40 women, 40% owned catsThe p-value is:Ho: M = μFH₁: UM

Test the claim that the proportion of men who own cats is smaller 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: μM = μF H₁ μM > μF H₁: PM > PF H₁: M

Test the claim that the proportion of men who own cats is smaller 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: μM = μF H₁ μM > μF H₁: PM > PF H₁: M

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 10E

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Question

Test the claim that the proportion of men who own cats is smaller than the proportion of women who own
cats at the .025 significance level.
The null and alternative hypothesis would be:
Ho MMF Ho: PM = PF
H₁: MMF
O
H₁: PM > PF
O
The test is:
two-tailed right-tailed
O
The test statistic is:
Based on a sample of 60 men, 25% owned cats
Based on a sample of 40 women, 40% owned cats
The p-value is:
Ho: M = μF
H₁: UM <F
O
Based on this we:
left-tailed o
O
Fail to reject the null hypothesis
Reject the null hypothesis
Ho: PM = PF
H₁ PM <PF
O
(to 2 decimals)
(to 2 decimals)
Ho: MM = μF Ho: PM = PF o
H₁: PM μF H₁: PM PF
O
O

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