Apply the Chi-Square Goodness-Of-Fit Test A $\chi ^ { 2 } = 8.012$

question 20

Short Answer

Apply the Chi-Square goodness-of-fit test.
-Vending machines on a college campus offer a variety of drinks. The purchasing
Agent believes that each type of drink is equally preferred by students and consequently
Orders equal quantities. The number of drinks sold from vending machines on this
Campus for the last six months is shown in the following table. The correct value of the
Test statistic for determining if the purchasing agent's belief if supported is $\begin{array}{|c|c|c|c|c|}\hline \text { Drink Type/Flavor } & \begin{array}{c}\text { Lemon Lime } \\\text { Sports Drink }\end{array} & \begin{array}{c}\text { Kiwi } \\\text { Strawberry }\end{array} & \begin{array}{c}\text { Tropical } \\\text { Punch }\end{array} & \begin{array}{c}\text { Grape } \\\text { Sports Drink }\end{array} \\\hline \text { Purchase Frequency } & 159 & 198 & 174 & 149\\\hline \end{array}$

A. $\chi ^ { 2 } = 8.012$
B. $\chi ^ { 2 } = 12.019$
C. $\chi ^ { 2 } = 0.984$
D. $\chi ^ { 2 } = 45.014$
E. None of the above.

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