In a Local School, Vending Machines Offer a Range of Drinks

question 29

Essay

In a local school, vending machines offer a range of drinks from juices to sports drinks. The
purchasing agent thinks each type of drink is equally favored among the students buying
drinks from the machines. The recent purchasing choices from the vending machines are
shown in the table. $$\begin{array} { | c | c | c | c | c | } \hline \text { Drink Type/Flavor } & \begin{array} { c } \text { Lemon Lime } \\\text { Sports Drink }\end{array} & \begin{array} { c } \text { Kiwi } \\\text { Strawberry }\end{array} & \begin{array} { c } \text { Tropical } \\\text { Punch }\end{array} & \begin{array} { c } \text { Grape } \\\text { Sports Drink }\end{array} \\\hline \text { Frequency } & 159 & 198 & 174 & 149 \\\hline\end{array}$$
a. Test an appropriate hypothesis to decide if the purchasing agent is correct. Give
statistical evidence to support your conclusion.
b. Which type of drink impacted your decision the most? Explain what this means in the
context of the problem.

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Definitions:

Angela Lee Duckworth

A psychologist known for her research on grit and perseverance, suggesting that passion and resilience are key factors in personal and professional success beyond IQ and talent.

Restricted Gift

A donation given to a nonprofit organization with specific conditions attached regarding how the funds are to be used.

Specific Purpose

A clear, focused objective or reason for an action or the existence of an entity.

Fund-raising Effort

Organized activities or campaigns undertaken to gather financial support for a specific cause or organization.