A random sample of n1= 200 people who live in a city were selected and 103 identified as a cat person. A random sample of n2 = 98 people who live in a rural area were selected and 59 identified as a cat person. Find the 99% confidence interval for the difference in the proportion of people that live in a city who identify as a cat person and the proportion of people that live in a rural area who identify as a cat person.
Round answers to 2 decimal places, use interval notation with parentheses ( , )