Test the claim that the proportion of men who own cats is significantly different than 20% at the 0.02 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
Problem 8CR
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Test the claim that the proportion of men who own cats is significantly different than 20% at the 0.02 significance level.

The null and alternative hypothesis would be:

H0:p≤0.2


H1:p>0.2

 
H0:μ≤0.2


H1:μ>0.2

 
H0:μ≥0.2


H1:μ<0.2

 
H0:p≥0.2


H1:p<0.2

 
H0:μ=0.2


H1:μ≠0.2

 
H0:p=0.2


H1:p≠0.2

 



The test is:

two-tailed
left-tailed
right-tailed



Based on a sample of 200 people, 22% owned cats

The test statistic is: (to 2 decimals)

The positive critical value is: (to 2 decimals)

Based on this we:

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