A random sample of n1 = 214 people who live in a city were selected and 87 identified as a "dog person." A random sample of

n2= 108 people who live in a rural area were selected and 57 identified as a "dog person." Find the 98% confidence interval for the difference in the proportion of people that live in a city who identify as a "dog person" and the proportion of people that live in a rural area who identify as a "dog person."

Round answers to to 4 decimal places.