MATLAB: An Introduction with Applications
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 .10 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:

 

left-tailed
two-tailed
right-tailed



Based on a sample of 40 men, 35% owned cats
Based on a sample of 20 women, 45% owned cats

The test statistic is:  (to 2 decimals)

The p-value is:  (to 2 decimals)

Based on this we:

  • Fail to reject the null hypothesis
  • Reject the null hypothesis
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