Question: A study was done to examine the personal goals of elementary school children. A random sample of 500 students was selected from schools in the state of Georgia. The students received a questionnaire regarding personal goals. They were asked what they would most like to do at school: get good grades, be popular, or be good at sports. The results are presented in the table, classified by the gender of the child.

Get good grades Be popular Be good at sports

Boys 96 32 94

Girls 193 45 40

Which one of the following tables of conditional distributions is most appropriate for determining if gender has an impact on personal goals? Explain and say why the others are not appropriate.

A. Get good grades Be popular Be good at sports

Boys 0.192 0.064 0.188

Girls 0.386 0.090 0.080

B. Get good grades Be popular Be good at sports

Boys 0.332 0.416 0.701

Girls 0.668 0.584 0.299

C. Get good grades Be popular Be good at sports

Boys 0.432 0.144 0.423

Girls 0.694 0.162 0.144