A Company Wants to Determine If Its Employees Have Any $\alpha = 0.01$

Short Answer

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