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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

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:M=F H0:M=F H1:MF H1:M>F H0:M=F H0:M=F H1:MF H1:MF H0:pM=pF H0:pM=pF H1:pM>pF H1:pM>pF H0:pM=pF H0:pM=pF H1:pMpF H1:pMpF H0:pM=pF H0:pM=pF H1:pM

right-tailed two-tailed left-tailed Based on a sample of 80 men, 30% owned cats Based on a sample of 60 women, 45% 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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