MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Test the claim that the proportion of people who own cats is smaller than 20% at the 0.10 significance level.
The null and alternative hypothesis would be:
H0:p≥0.2H0:p≥0.2
H1:p<0.2H1:p<0.2
H1:p<0.2H1:p<0.2
H0:p=0.2H0:p=0.2
H1:p≠0.2H1:p≠0.2
H1:p≠0.2H1:p≠0.2
H0:p≤0.2H0:p≤0.2
H1:p>0.2H1:p>0.2
H1:p>0.2H1:p>0.2
H0:μ=0.2H0:μ=0.2
H1:μ≠0.2H1:μ≠0.2
H1:μ≠0.2H1:μ≠0.2
H0:μ≥0.2H0:μ≥0.2
H1:μ<0.2H1:μ<0.2
H1:μ<0.2H1:μ<0.2
H0:μ≤0.2H0:μ≤0.2
H1:μ>0.2H1:μ>0.2
H1:μ>0.2H1:μ>0.2
The test is:
right-tailed
two-tailed
left-tailed
Based on a sample of 100 people, 14% owned cats
The test statistic is: (to 2 decimals)
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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