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