Astudy was done to determine whether there is a relationship between snoring and the risk of heart disease. among 1,105 snorers in the study, 88 had heart disease, while only 22 of 1,379 nonsnorers had heart disease.

(a) determine a 95% confidence interval that estimates p1 − p2 = difference in proportions of snorers and nonsnorers who have heart disease. (let p1 be the proportion of snorers and p2 be the proportion of nonsnorers. round your answers to three decimal places.)