Question

A group of seventh and eighth graders were asked if they like playing tennis. The table shows the relative frequencies of the rows for the two-way table representing this situation.

Like playing tennis Do not like playing tennis
7th Grade 0.42 0.58
8th Grade 0.47 0.53

Which conclusion can be made?

A. Of those who like playing tennis, a smaller percentage are eighth graders.

B. Compared to the eighth graders, a smaller percentage of the seventh graders like playing tennis.

C. Compared to the seventh graders, a smaller percentage of the eighth graders like playing tennis.

D. Of those who like playing tennis, a smaller percentage are seventh graders.

Answer 1

Option: B and Option: D are correct.

Explanation:

We are given a two-way frequency table as:

Like playing tennis Do not like playing tennis

7th Grade 0.42 0.58

8th Grade 0.47 0.53

A)

Of those who like playing tennis, a smaller percentage are eighth graders.

The following statement is False as the percentage of 8th grade is 0.47 which is more than 7th grade students.

B)

Compared to the eighth graders, a smaller percentage of the seventh graders like playing tennis.

The statement is clearly true.

as the percentage of 8th grade is 0.47 which is more than 7th grade students.

C)

Compared to the seventh graders, a smaller percentage of the eighth graders like playing tennis.

The statement is False as the statement is just opposite of the second statement.

D)

Of those who like playing tennis, a smaller percentage are seventh graders.

This statement is true as it is same as statement in part B.