Popular kids Who were the popular kids at your elementary school? Did they get good

Chapter 11, Problem R11.5

(choose chapter or problem)

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 determine 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.

GENDER

\(\begin{array}{lcr} \text { Goal } & \text { Female } & \text { Male } \\ \text { Grades } & 130 & 117 \\ \text { Popular } & 91 & 50 \\ \text { Sports } & 30 & 60 \end{array}\)

(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 \(\alpha=0.05\) level of an association between gender and goals for elementary school students?