A study examines the personal goals of children in grades 4, 5, and 6. A random

Question

A study examines the personal goals of children in grades 4, 5, and 6. A random sample of students was selected for each of the grades 4, 5, and 6 from schools in Georgia. The students received a questionnaire regarding achievement of personal goals. They were asked what they would most like to do at school: make good grades, be good at sports, or be popular. Results are presented in the following table by the sex of the child.

Boys

Girls

192

590

64

90

188

80

The data are going to be summarized by the researchers computing the conditional distributions of personal goals for boys and girls. For what proportion of girls is it most important to make good grades?

388.38

444

288.38

56.79

0.222

0.432

0.754

0.776

The expected count for boys who make good grades is

Boys

Girls

192

590

64

90

188

80

Explanation / Answer

Proportion of girls who said it is most important to make good grades = number of girls who said it is most important to make good grades / total number of girls

= 590 / (590+90+80)

= 0.776

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