A Company Wants to Determine If Its Employees Have Any $\chi { } _ { 0 } ^ { 2 }$

Multiple Choice

A company wants to determine if its employees have any preference among 5 different health plans which it offers to them. A sample of 200 employees provided the data below. Find the critical value $\chi { } _ { 0 } ^ { 2 }$ to test the claim that the probabilities show no preference. Use $\alpha = 0.01$ .
$\begin{array}{l|cllll}\text { Plan } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Employees } & 65 & 30 & 18 & 55 & 32\end{array}$

A) $13.277$
B) $9.488$
C) $11.143$
D) $14.860$