Answered: Test the claim that the proportion of…

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

Problem 8CR

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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 0.1 significance level.

The null and alternative hypothesis would be:

H0:pM=pFH0:pM=pF
H1:pM≠pFH1:pM≠pF

H0:μM=μFH0:μM=μF
H1:μM<μFH1:μM<μF

H0:pM=pFH0:pM=pF
H1:pM>pFH1:pM>pF

H0:μM=μFH0:μM=μF
H1:μM>μFH1:μM>μF

H0:pM=pFH0:pM=pF
H1:pM<pFH1:pM<pF

H0:μM=μFH0:μM=μF
H1:μM≠μFH1:μM≠μF

The test is:

two-tailed

left-tailed

right-tailed

Based on a sample of 60 men, 25% owned cats
Based on a sample of 20 women, 35% owned cats

The test statistic is: (to 2 decimals)

The positive critical value is: (to 2 decimals)

Based on this we:

Reject the null hypothesis
Fail to reject the null hypothesis

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