Answered: Test the claim that the proportion of…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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Question

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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