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 hypotheses would be:
Ho: pM = pF
Ha: pM ≠ pF
The test is: two-tailed
Based on a sample of 20 men, 25% owned cats.
Based on a sample of 60 women, 40% owned cats.
The test statistic is:
(to 2 decimal places)
The p-value is:
(to 4 decimal places)
Based on this we:
Fail to reject the null hypothesis
Reject the null hypothesis
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