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:

Homosexual Orientation

An attraction pattern where one experiences romantic or sexual feelings towards people of the same gender.

Sexual Attraction

A form of desire or interest toward others, often based on their sexual characteristics.

Sexual Preference

An individual's pattern of sexual attraction to males, females, both, or neither, based on various factors.

Juvenile Delinquency

Conduct in a child or adolescent characterized by illegal activities.