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

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. Calculate the chi -square test statistic $\chi ^ { 2 }$ to test the claim that the probabilities show no preference. Use $\alpha = 0.01$ .
$\begin{array}{l|cllll}\text { Plan } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Employees } & 18 & 65 & 32 & 30 & 55\end{array}$

A) $37.45$
B) $45.91$
C) $48.91$
D) $55.63$