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:...


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:μM=μFH0:μM=μF
H1:μM<><>

H0:μM=μFH0:μM=μF
H1:μM>μFH1:μM>μF

H0:pM=pFH0:pM=pF
H1:pM>pFH1:pM>pF

H0:pM=pFH0:pM=pF
H1:pM≠pFH1:pM≠pF

H0:μM=μFH0:μM=μF
H1:μM≠μFH1:μM≠μF

H0:pM=pFH0:pM=pF
H1:pM<><>


Correct





The test is:




left-tailed

two-tailed

right-tailed

Correct





Based on a sample of 40 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:




  • Fail to reject the null hypothesis

  • Reject the null hypothesis




Jun 11, 2022
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