Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.2 significance level.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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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 0.2 significance level.
The null and alternative hypothesis would be:
Но : им — ИF Ho: Им — Иr Но: им — Ar Ho: Pм — Pr Ho:Pм — Pr Ho:рм — Pғ
µf Ho:PM
PF Ho:PM = PF Ho:PM
H1: µM > µF H1:µM + HF H1:µM < µF H1:PM + PF H1:PM < PF H1:PM > PF
The test is:
left-tailed right-tailed two-tailed
Based on a sample of 20 men, 25% owned cats
Based on a sample of 80 women, 35% owned cats
The test statistic is:
(to 2 decimals) (Hint: difference in proportions, not z)
The positive critical value is:
(to 2 decimals) (Hint: the proportion, not z)
Based on this we:
O Fail to reject the null hypothesis
O Reject the null hypothesis
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 0.2 significance level. The null and alternative hypothesis would be: Но : им — ИF Ho: Им — Иr Но: им — Ar Ho: Pм — Pr Ho:Pм — Pr Ho:рм — Pғ µf Ho:PM PF Ho:PM = PF Ho:PM H1: µM > µF H1:µM + HF H1:µM < µF H1:PM + PF H1:PM < PF H1:PM > PF The test is: left-tailed right-tailed two-tailed Based on a sample of 20 men, 25% owned cats Based on a sample of 80 women, 35% owned cats The test statistic is: (to 2 decimals) (Hint: difference in proportions, not z) The positive critical value is: (to 2 decimals) (Hint: the proportion, not z) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis
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