A Teacher Figures That Final Grades in the Chemistry Department $\mathrm { A } , 25 \% ; \mathrm { B } , 25 \% ; \mathrm { C } , 40 \%$

Multiple Choice

A teacher figures that final grades in the chemistry department are distributed as: $\mathrm { A } , 25 \% ; \mathrm { B } , 25 \% ; \mathrm { C } , 40 \%$ ; D, $5 \% ; F , 5 \%$ . At the end of a randomly selected semester, the following number of grades were recorded. Calculate the chi-square test statistic $\chi ^ { 2 }$ to determine if the grade distribution for the department is different than expected. Use $\alpha = 0.01$ .
$\begin{array}{l|ccccc}\text { Grade } & \text { A } & \text { B } & \text { C } & \text { D } & \text { F } \\\hline \text { Number } & 36 & 42 & 60 & 8 & 14\end{array}$

A) $5.25$
B) $6.87$
C) $0.6375$
D) $4.82$