A study was performed to examine the personal goals of child

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

Make good grades Be popular Be good in sports

Boys 96 32 94

Girls 295 45 40

Suppose we wish to test the null hypothesis that there are no differences among the proportion of boys and the proportion of girls choosing each of the three personal goals. Under the null hypothesis, the expected number of boys that would select be good in sports is:

Solution