A study examined parental influence on teenagers' decisions to smoke. A group of students who had never smoked were asked about their parents' attitudes to smoking. The students were questioned two years later to see if they had started smoking. The study found that, of the 277 students whose parents disapproved, 57 became smokers. Of the 44 students with lenient parents, 11 smoked. Complete parts a through c below, a) Create a 95% confidence interval for the difference between the proportion of children with lenient parents who later smoked, P1, and the proportion of children with disapproving parents who later smoked, P2. The confidence interval for p, - P2 is (D) (Round to three decimal places as needed.)