Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.05 significance level.

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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Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.05 significance level.

The null and alternative hypothesis would be:

 

H0:μM=μFH0:μM=μF
H1:μM≠μFH1:μM≠μF
H0:pM=pFH0:pM=pF
H1:pM≠pFH1:pM≠pF
H0:pM=pFH0:pM=pF
H1:pM>pFH1:pM>pF
H0:pM=pFH0:pM=pF
H1:pM<pFH1:pM<pF
H0:μM=μFH0:μM=μF
H1:μM>μFH1:μM>μF
H0:μM=μFH0:μM=μF
H1:μM<μFH1:μM<μF



The test is:

 

right-tailed
two-tailed
left-tailed



Based on a sample of 40 men, 40% owned cats
Based on a sample of 40 women, 60% owned cats

The test statistic is:  (to 2 decimals)

The p-value is:  (to 2 decimals)

Based on this we:

  • Fail to reject the null hypothesis
  • Reject the null hypothesis
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