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

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 distribution is uniform. Use $$\alpha$$ = 0.01. $$\begin{array} { l | c c c c c } \text { Brand } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Customers } & 55 & 32 & 30 & 65 & 18\end{array}$$