A New Coffeehouse Wishes to See Whether Customers Have Any $\alpha = 0.01$

Essay

A new coffeehouse wishes to see whether customers have any preference among 5 different brands of coffee. A sample of 200 customers provided the data below. Test the claim that the probabilities show no preference. Use $\alpha = 0.01$ .
$\begin{array}{l|ccccc}\text { Brand } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Customers } & 30 & 55 & 32 & 65 & 18\end{array}$