10.71 A study of the relationship between athletic involvement and academic achievement for college students sampled randomly 852 students.

The selected students were categorized according to amount of athletic involvement and gradepoint averages at graduation. The results are listed in table below.

a Do final grade-point averages appear to be independent of athletic involvement? (Use .)
b For students with four or more semesters of athletic involvement, is the proportion with GPAs above the mean significantly different, at the 0.05 level, from the proportion with GPAs below the mean?

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Athletic Involvement 1-3 4 or More None Semesters Semesters Below Mean 290 94 42 GPA Above Mean 238 125 63 528 219 105