Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .10 significance level. The null and alternative hypothesis would be: H0:pM=pF...


Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .10 significance level.


The null and alternative hypothesis would be:




H0:pM=pF
H1:pM>pF


H0:μM=μF
H1:μM<>


H0:pM=pF
H1:pM<>


H0:μM=μF
H1:μM>μF


H0:μM=μF
H1:μM≠μF


H0:pM=pF
H1:pM≠pF






The test is:




two-tailed

left-tailed

right-tailed






Based on a sample of 80 men, 35% 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




Jun 01, 2022
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