A Coffeehouse Wishes to See If Customers Have Any Preference $\alpha = 0.01$

Multiple Choice

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

A) $\chi ^ { 2 } > 14.860$
B) $\chi ^ { 2 } > 11.143$
C) $\chi ^ { 2 } > 13.277$
D) $\chi ^ { 2 } > 9.488$