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A Coffeehouse Wishes to See If Customers Have Any Preference χ2\chi ^ { 2 }

Question 7

Short Answer

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 χ2\chi ^ { 2 } used to test the claim that the probabilities show no preference.
 Brand 12345 Customers 5532183065\begin{array}{l|ccccc}\text { Brand } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Customers } & 55 & 32 & 18 & 30 & 65\end{array}

A) 37.4537.45
B) 45.9145.91
C) 48.9148.91
D) 55.6355.63

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