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Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.2

Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.2 significance level. The null and alternative hypothesis would be:

H0:M=FH0:M=F H1:MFH1:MF H0:pM=pFH0:pM=pF H1:pMpFH1:pMpF H0:M=FH0:M=F H1:M>FH1:M>F H0:pM=pFH0:pM=pF H1:pM>pFH1:pM>pF H0:pM=pFH0:pM=pF H1:pM

The test is:

right-tailed two-tailed left-tailed

Based on a sample of 20 men, 25% owned cats Based on a sample of 20 women, 45% owned cats The test statistic is:

(to 2 decimals)

The positive critical value is: (to 2 decimals) Based on this we:

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

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