A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.1 significance level.

The null and alternative hypothesis would be:

 

H0:μ=0.8H0:μ=0.8
H1:μ≠0.8H1:μ≠0.8
H0:p=0.8H0:p=0.8
H1:p≠0.8H1:p≠0.8
H0:p≤0.8H0:p≤0.8
H1:p>0.8H1:p>0.8
H0:p≥0.8H0:p≥0.8
H1:p<0.8H1:p<0.8
H0:μ≤0.8H0:μ≤0.8
H1:μ>0.8H1:μ>0.8
H0:μ≥0.8H0:μ≥0.8
H1:μ<0.8H1:μ<0.8



The test is:

 

right-tailed
left-tailed
two-tailed



Based on a sample of 200 people, 87% owned cats

The p-value is:  (to 2 decimals)

Based on this we:

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