In 1994, a magazine reported the results of a telephone poll of 900 adult Americans, 658 nonsmokers, who were asked the following question: \"Should the federal tax on cigarettes be raised by $1.25 to pay for health care reform?\" Let p1 and p2 equal the proportions of nonsmokers and smokers, respectively, who say yes to this question. yl : 388 nonsmokers and y? : 58 smokers said yes. a) With a : 0.05, test H0 :p1 : p2 V.s. Ha : p1 ypg. (5 pts) b) Find a 95% condence interval for pl 7 pg. (2 pts) c) Perform the test in part (a) using R. Attach your output. (3 pts) d) Find a 95% condence interval for p, the proportion of adult Americans who would say yes. {4 pts)