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.)

Quick! a survey of 57 customers was taken at a bookstore regarding the types of books purchased. the survey found that 33 customers purchased mysteries, 25 purchased science fiction, 18 purchased romance novels, 12 purchased mysteries and science fiction, 9 purchased mysteries and romance novels, 6 purchased science fiction and romance novels, and 2 purchased all three types of books. a) how many of the customers surveyed purchased only mysteries? b) how many purchased mysteries and science fiction, but not romance novels? c) how many purchased mysteries or science fiction? d) how many purchased mysteries or science fiction, but not romance novels? e) how many purchased exactly two types of books?

Arectangle has a perimeter of 24 inches. if the width is 5 more than twice the length, what are the dimensions of the rectangle?

In the figure below, m∠r is 60°, and m∠t is 120°. what is m∠q? a. 60° b. 30° c. 120° d. 54