Question

Test the claim that the proportion of men who own cats is smaller than the proportion...

Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .01 significance level.

The null and alternative hypothesis would be:

H0:μM=μF
H1:μM≠μF

H0:pM=pF
H1:pM>pF

H0:μM=μF
H1:μM<μF

H0:μM=μF
H1:μM>μF

H0:pM=pF
H1:pM<pF

H0:pM=pF
H1:pM≠pF



The test is:

left-tailed

two-tailed

right-tailed



Based on a sample of 60 men, 40% owned cats
Based on a sample of 40 women, 50% 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
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

The statistical software output for this problem is :

H0 : pM = pF
H1: pM < pF

Test statistics = -0.99

P-value = 0.16

Fail to reject the null hypothesis

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