An experiment was performed to examine the personal goals of

An experiment 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 three grades from schools in Alabama. The students received a questionnaire regarding achieving personal goals. They were asked what they would most like to do at school: make good grades, be good at sports, or be popular.

Using the above data, what is the proportion of boys who chose the goal \"make good grades\"?

A) 0.22

B) 0.43

C) 0.96

D) 0.16

E) 0.25

Explain your answer and show work.

Solution

Number of boys who chose the goal \"make good grades\" = 96

Number of boys = 96 + 32 + 94 = 224

proportion of boys who chose the goal \"make good grades\" = 96/224 = 0.43

Thus option B is correct.