Researchers conducted a study of variety in exercise workouts. A sample of 150 men and women were randomly divided into three groups, with 50 people per group. Group 1 members varied their exercise routine in workouts, group 2 members performed the same exercise at each workout, and group 3 members had no set schedule or regulations for their workouts. (a) By the end of the study, 16 people had dropped out of the rst exercise group. Esti mate the dropout rate for exercisers who vary their routine in workouts. Use a 95% condence interval and interpret the result. [4 points] (b) By the end of the study, 30 people had dropped out of the third exercise group. Estimate the dropout rate for exercisers who have no set schedule for their workouts. Use a 95% condence interval and interpret the result. [4 points] (c) Which group generally had higher dropout rate? Explain. [3 points] (d) How many randomly selected members must we include in group 1 to create an es- timate in which we are 95% condent with margin of error of 5%? Assume that an experimenter expects the true proportion for group 1, 391, to lie somewhere in the con structed interval in part (a). [4 points]