Question

Jamie collected data from her classmates on their favorite make of car. Based on the data, if 100 boys and 100 girls are given their choice of a car, which statement is true?

Answer 1

Option: A is the correct answer.

More boys than girls prefer Dodge over Ford or Chevrolet.

Explanation:

The data is given as:

Boys Girls

Ford 18 25

Dodge 17 18

Chevrolet 11 13

Total 46 56

A)

Probability of girls who prefer Dodge is: 18/56

So out of 100 girls the number of girls who prefer dodge is:18/56 ×100

• Number of girls who prefer Dodge is: 32.143≈32

Probability of boys who prefer Dodge is: 17/46

So out of 100 boys the number of boys who prefer dodge is:17/46 ×100

• Number of boys who prefer Dodge is: 36.956≈37

This means that the number of boys who prefer dodge are more than the number of girls who prefer dodge.

Hence, option: A is correct.

B)

Option: B is opposite of A and hence is incorrect.

C)

Probability of girls who prefer ford is: 25/56

So out of 100 girls the number of girls who prefer ford is:25/56 ×100

• Number of girls who prefer Fords: 44.642≈45

Probability of boys who prefer Ford is: 18/46

So out of 100 boys the number of boys who prefer ford is:18/46 ×100

• Number of boys who prefer Ford is: 39.13≈39

This means that the number of girls who prefer ford are more than the number of boys who prefer ford.

Hence, option: C is incorrect.

D)

Probability of girls who prefer Chevrolet is: 13/56

So out of 100 girls the number of girls who prefer Chevrolet is:13/56 ×100

• Number of girls who prefer Chevrolet is: 23.214≈23

Probability of boys who prefer Chevrolet is: 11/46

So out of 100 boys the number of boys who prefer Chevrolet is:11/46 ×100

• Number of boys who prefer Chevrolet is: 23.913≈24

This means that the number of boys who prefer Chevrolet are approximately equal to the girls who prefer Chevrolet.

Hence, option: D is incorrect.