please help Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.05 significance level. The null and alternative...


please help


Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.05 significance level.


The null and alternative hypothesis would be:





  • H0:pM=pFH0:pM=pF
    H1:pM≠pFH1:pM≠pF




  • H0:μM=μF

  • H1:μM>μF




  • H0:μM=μF
    H1:μM≠μF




  • H0:pM=pF
    H1:pM<>




  • H0:pM=pF
    H1:pM>pF




  • H0:μM=μF
    H1:μM<>




The test is:





  • two-tailed

  • right-tailed

  • left-tailed







Based on a sample of 80 men, 35% owned cats
Based on a sample of 80 women, 55% 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






Jun 10, 2022
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