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:
The test is:
Based on a sample of 40 men, 45% owned cats
Based on a sample of 60 women, 50% owned cats
The test statistic is:
(to 2 decimals)
The critical value is:
(to 2 decimals)