Interpret Confidence and Prediction Intervals A State Appropriate Hypotheses to Test Whether the Purchasing Agent

Interpret confidence and prediction intervals.
-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. $$\begin{array} { | c | c | c | c | c | } \hline \text { Drink Type/Flavor } & \begin{array} { c } \text { Lemon Lime } \\\text { Sports Drink }\end{array} & \begin{array} { c } \text { Kiwi } \\\text { Strawberry }\end{array} & \begin{array} { c } \text { Tropical } \\\text { Punch }\end{array} & \begin{array} { c } \text { Grape } \\\text { Sports Drink }\end{array} \\\hline \text { Purchase Frequency } & 159 & 198 & 174 & 149 \\\hline\end{array}$$
a. State appropriate hypotheses to test whether the purchasing agent is correct.
b. What is the value of the test statistic and its associated P-value?
c. State the conclusion at = .05.