Question: Why men and women play sports Do men and women participate in sports for the same reasons? One goal for sports participants is social comparison- the desire to win or to do better than other people. Another is mastery-the desire to improve one's skills or to try one's best. A study on why students participate in sports collected data from independent random samples of 67 male and 67 female undergraduates at a large university.13 Each student was classified into one of four categories based on his or her responses to a questionnaire about sports goals. The four categories were high social comparison-high mastery (HSC-HM), high social comparison-low mastery (HSC-LM), low social comparison-high mastery (LSC-HM), and low social comparison-low mastery (LSC-LM). One purpose of the study was to compare the goals of male and female students. Here are the data displayed in a two-way table:
(a) Calculate the conditional distribution (in proportions) of the reported sports goals for each gender.
(b) Make an appropriate graph for comparing the conditional distributions in part (a).
(c) Write a few sentences comparing the distributions of sports goals for male and female undergraduates.