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.
$\begin{array}{l|ccccc}\text { Brand } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Customers } & 30 & 18 & 32 & 55 & 65\end{array}$

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