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 .025 significance level.
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:pM=pFH0:pM=pF
H1:pM≠pFH1:pM≠pF H0:μM=μFH0:μM=μF
H1:μM≠μFH1:μM≠μF H0:pM≥pFH0:pM≥pF
H1:pM<pFH1:pM<pF |
The test is
right-tailed
left-tailed
two-tailed
Based on a sample of 20 men, 30% owned cats
Based on a sample of 60 women, 60% 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 hypothes
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