R11.5 Popular kids Who were the popular kids at your elementary school? Did they get good grades or have good looks? Were they good at sports? A study was performed to examine the factors that deter- mine social status for children in grades 4, 5, and 6. Researchers administered a questionnaire to a random sample of 478 students in these grades. One of the questions they asked was "What would you most like to do at school: make good grades, be good at sports, or be popular?" The two-way table below summarizes the students' responses. 34 Gender Goal Female Male Grades 130 117 Popular 91 50 Sports 30 60 (a) Construct an appropriate graph to compare male and female responses. Write a few sentences describing the relationship between gender and goals. (b) Is there convincing evidence at the a = 0.05 level of an association between gender and goals for elementary school students?