Exhibit 7-9: A group of 100 college students and 100 college graduates was asked to reply to the question, "In general, do you enjoy reading a college textbook?" The following are the results:
$\begin{array}{llll}
& \underline{\text {Yes }}{} &\underline{\text {No }}{} &\underline { Sometimes } \
\text { College Students } & 30 & 45 & 25 \
\text { Graduates } & 50 & 30 & 20
\end{array}$
-Refer to Exhibit 7-9.What is the value for the statistic?
A) 5.32
B) 8.56
C) 12.99
D) None of these are true.

Question

Exhibit 7-9: A group of 100 college students and 100 college graduates was asked to reply to the question, "In general, do you enjoy reading a college textbook?" The following are the results:
 $\begin{array}{llll} 
& \underline{\text {Yes }}{} &\underline{\text {No }}{} &\underline { Sometimes } \
\text { College Students } & 30 & 45 & 25 \
\text { Graduates } & 50 & 30 & 20
\end{array}$
-Refer to Exhibit 7-9.What is the value for the statistic?
A) 5.32
B) 8.56
C) 12.99
D) None of these are true.

Quizplus · Accepted Answer

To find the value of the statistic, we need to calculate the chi-square test statistic. Using the formula for chi-square, we get:

χ^2 = (30-40)^2/40 + (45-40)^2/40 + (25-20)^2/40 + (50-75)^2/75 + (30-30)^2/30 + (20-20)^2/20

= 2.25 + 0.625 + 0.625 + 6.6667 + 0 + 0

= 10.7667

Using a chi-square distribution table with (2-1)(3-1) = 2 degrees of freedom (df), we find the critical value to be 5.99 at the 5% level of significance. Since our calculated value of χ^2 is greater than the critical value, we reject the null hypothesis and conclude that there is a significant difference in enjoyment of reading college textbooks between college students and college graduates.

Therefore, the value for the statistic is 10.7667, which corresponds to choice (B).

Exhibit 7-9: a Group of 100 College Students and 100