A veterinarian is interested in researching the proportion of men and women cat owners and believes that the proportion of men cat owners is smaller than the proportion of women cat owners. The veterinarian decides to obtain two independent samples of men and women cat owners and finds from one sample of 60 men, 30% owned cats. In the second sample of 60 women, 40% owned cats. Test the veterinarian's belief at the a = 0.025 significance level. Preliminary