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: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≠pFH1:pM≠pF

H0:μM=μFH0:μM=μF
H1:μM>μFH1:μM>μF

H0:μM=μFH0:μM=μF
H1:μM<μFH1:μM<μF

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

The test is:

right-tailed

two-tailed

left-tailed

Based on a sample of 40 men, 35% owned cats
Based on a sample of 60 women, 55% owned cats

The test statistic is:  (to 2 decimals)

The critical value is:  (to 2 decimals)

Based on this we:

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

Homework Answers

Answer #1

To test against

The test is left tailed.

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