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 degree(s) of freedom for this problem is (are)
A) 1.
B) 2.
C) 5.
D) 149.

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 degree(s) of freedom for this problem is (are)
A) 1.
B) 2.
C) 5.
D) 149.

Quizplus · Accepted Answer

The X² test is a chi-squared test of independence which tests for the association between two categorical variables. In this case, the two variables are aspirations for college attendance and current GPA level. The degrees of freedom for this test are calculated as (number of rows - 1) x (number of columns - 1), which gives us (2-1) x (3-1) = 2. Therefore, the answer is B.

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