Exhibit 7-13: An investigator wished to look at the relationship between the aspirations of high school juniors for a college education and their current grade point averages.He asked 150 high school juniors whether or not they wanted to attend college.The following data were obtained:
$\begin{array}{lllll}
&&&GPA\
& & \text { Below average } & \text { Average } & \text { Above average } \
\text { Aspiration } & \text { Yes } & 15 & 25 & 35 \
\text { to attend College } & \text { No } & 35 & 25 & 15
\end{array}$
Apply the X 2 test to the above data and then answer the following questions.
-Refer to Exhibit 7-13.The expected frequency for above-average students who want to attend college is
A) 15.
B) 20.
C) 25.
D) 35.

Question

Exhibit 7-13: An investigator wished to look at the relationship between the aspirations of high school juniors for a college education and their current grade point averages.He asked 150 high school juniors whether or not they wanted to attend college.The following data were obtained:
 $\begin{array}{lllll} 
&&&GPA\
& & \text { Below average } & \text { Average } & \text { Above average } \
\text { Aspiration } & \text { Yes } & 15 & 25 & 35 \
\text { to attend College } & \text { No } & 35 & 25 & 15
\end{array}$ 
Apply the X 2 test to the above data and then answer the following questions.
-Refer to Exhibit 7-13.The expected frequency for above-average students who want to attend college is
A) 15.
B) 20.
C) 25.
D) 35.

Quizplus · Accepted Answer

To find the expected frequency, we first calculate the row and column totals. The row totals are the total number of juniors who want to attend college and the total number who do not. Similarly, the column totals are the total number of juniors with a below average GPA, an average GPA, and an above average GPA. Then we calculate the overall total.

Next, we use the formula for expected frequency for each cell:

Expected frequency = (row total x column total) / overall total

For the cell with above average GPA and wanting to attend college:

Expected frequency = (60 x 85) / 150 = 34

Therefore, the expected frequency for above-average students who want to attend college is 34, which is closest to choice C (25).

Exhibit 7-13: an Investigator Wished to Look at the Relationship