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 men who own cats is smaller than the proportion of women who own cats at the .005 significance level.
The null and alternative hypothesis would be:
The test is
Based on a sample of 80 men, 40% owned cats
Based on a sample of 40 women, 70% owned cats
Based on this we:
The null and alternative hypothesis would be:
H0:pM≥pFH0:pM≥pF
H1:pM<pFH1:pM<pF H0:μM≥μFH0:μM≥μF
H1:μM<μFH1:μM<μF H0:μM≤μFH0:μM≤μF
H1:μM>μFH1:μM>μF H0:μM=μFH0:μM=μF
H1:μM≠μFH1:μM≠μF H0:pM=pFH0:pM=pF
H1:pM≠pFH1:pM≠pF H0:pM≤pFH0:pM≤pF
H1:pM>pFH1:pM>pF |
The test is
two-tailed
right-tailed
left-tailed
Based on a sample of 80 men, 40% owned cats
Based on a sample of 40 women, 70% owned cats
Critical Value = | |
[three decimal accuracy] | |
Test Statistic = | |
[three decimal accuracy] |
Based on this we:
- Fail to reject the null hypothesis
- Reject the null hypothesis
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