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: H0:μM=μFH0:μM=μF H1:μM>μFH1:μM>μF   H0:pM=pFH0:pM=pF H1:pMpFH1:pM>pF   H0:pM=pFH0:pM=pF H1:pM≠pFH1:pM≠pF The test is: left-tailed two-tailed right-tailed Based on a sample of 20 men, 30% owned cats Based on a sample of 60 women, 50% owned cats The test statistic is:  (to 2 decimals) The critical value is:  (to 2 decimals) Based on this we: Fail to reject the null hypothesis Reject the null hypothesis

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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:

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: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:

left-tailed
two-tailed
right-tailed



Based on a sample of 20 men, 30% owned cats
Based on a sample of 60 women, 50% owned cats

The test statistic is:  (to 2 decimals)

The critical value is:  (to 2 decimals)

Based on this we:

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