MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
Test the claim that the proportion of people who own cats is smaller than 90% at the 0.025 significance level.
The null and alternative hypothesis would be:
H0:μ≥0.9H0:μ≥0.9
H1:μ<0.9H1:μ<0.9
H0:p≥0.9H0:p≥0.9
H1:p<0.9H1:p<0.9
H1:p<0.9H1:p<0.9
H0:p=0.9H0:p=0.9
H1:p≠0.9H1:p≠0.9
H1:p≠0.9H1:p≠0.9
H0:μ=0.9H0:μ=0.9
H1:μ≠0.9H1:μ≠0.9
H1:μ≠0.9H1:μ≠0.9
H0:p≤0.9H0:p≤0.9
H1:p>0.9H1:p>0.9
H1:p>0.9H1:p>0.9
H0:μ≤0.9H0:μ≤0.9
H1:μ>0.9H1:μ>0.9
H1:μ>0.9H1:μ>0.9
The test is:
two-tailed
right-tailed
left-tailed
Based on a sample of 200 people, 85% 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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