Of the boys in grades 4, 5 and 6 in elementary schools in Michigan, what proportion have as primary goal to be good at sports? Of the girls in grades 4, 5 and 6 in elementary schools in Michigan, what proportion have as primary goal to be good at sports? Among the students in grades 4, 5 and 6 in elementary schools in Michigan who have as primary goal to be good at sports, what is the proportion are girls?
Two psychologists surveyed 569 children in grades 4, 5 and 6 in elementary schools in Michigan. They stratified their sample drawing roughly 1/3 from rural, 1/3 from suburban and 1/3 from urban schools. Among other questions they asked students whether their primary goal was to get good grades, to be popular, or to be good at sports. One question of interest was whether boys and girls at this age had similar goals.
| Grades | Popular | Sports | Total | |
|---|---|---|---|---|
| Boy | 129 | 67 | 76 | 272 |
| Girl | 151 | 113 | 33 | 297 |
| Total | 280 | 180 | 109 | 569 |
Round answers to two places after the decimal:
Of the boys in grades 4, 5 and 6 in elementary schools in Michigan, what proportion have as primary goal to be good at sports?
Of the girls in grades 4, 5 and 6 in elementary schools in Michigan, what proportion have as primary goal to be good at sports?
Among the students in grades 4, 5 and 6 in elementary schools in Michigan who have as primary goal to be good at sports, what is the proportion are girls?
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