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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 .05 significance

Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .05 significance level. The null and alternative hypothesis would be:

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

The test is:

  • two-tailed
  • left-tailed
  • right-tailed

Based on a sample of 40 men, 25% owned cats Based on a sample of 60 women, 40% 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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