A veterinarian is interested in researching the proportion of men and women cat owners and believes that the proportion of male cat owners is significantly different than the proportion of female cat owners. The veterinarian decides to obtain two independent samples of men and women cat owners and finds from one sample of 60 men, 35% owned cats. In the second sample of 60 women, 50% owned cats. test the veterinarian's belief at the α+02 significance level. Find the p-value. round to four decimal places.