Question

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

Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.2 significance level.

The null and alternative hypothesis would be:

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: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

Correct



The test is:

left-tailed

two-tailed

right-tailed

Correct



Based on a sample of 20 men, 25% owned cats
Based on a sample of 40 women, 45% 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 :


H1 : pM ≠ pF ; H1 : pM ≠ pF

two-tailed

Test statistics = -1.50

P-value = 0.13

Reject the null hypothesis

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