Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.02 significance level.
The null and alternative hypotheses would be:
Ho: PM = PW
Ha: PM ≠ PW
The test is:
two-tailed
Based on a sample of 60 men, 25% owned cats.
Based on a sample of 20 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.