A Teacher Finds That Final Grades in the Statistics Department $40 \%$

Multiple Choice

A teacher finds that final grades in the statistics department are distributed as: A, 25\%; B, 25\%; C, $40 \%$ ; D, $5 \% ; F , 5 \%$ . At the end of a randomly selected semester, the following grades were recorded. Find the rejection region used to determine if the grade distribution for the department is different than expected. Use $\alpha = 0.01$ .
$\begin{array}{l|lllll}\text { Grade } & \text { A } & \text { B } & \text { C } & \text { D } & \text { F } \\\hline \text { Number } & 36 & 42 & 60 & 8 & 14\end{array}$

A) $\chi ^ { 2 } > 13.277$
B) $\chi ^ { 2 } > 9.488$
C) $\chi ^ { 2 } > 7.779$
D) $\chi ^ { 2 } > 11.143$