A Coffeehouse Wishes to See If Customers Have Any Preference $\chi ^ { 2 }$

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. Calculate the chi-square test statistic $\chi ^ { 2 }$ used to test the claim that the probabilities show no preference.
$\begin{array}{l|ccccc}\text { Brand } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Customers } & 55 & 65 & 18 & 30 & 32\end{array}$

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