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: 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 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

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 smaller than the proportion of women who own cats at the .025 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: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



The test is

right-tailed
left-tailed
two-tailed



Based on a sample of 20 men, 30% owned cats
Based on a sample of 60 women, 60% owned cats

Critical Value =  
  [three decimal accuracy]
   
Test Statistic =  
  [three decimal accuracy]



Based on this we:

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