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

question 17

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.

$\begin{array}{|c|c|c|c|c|}\hline \text { Drink Type/Flavor} &\text { Lemon Lime } & \text { Kiwi } & \text { Tropical }& \text { Grape } \\&\text { Sports Drink } &\text { Strawberry } &\text { Punch } &\text { Sports Drink }\\\hline \text { Frequency} & 159 & 198 & 174 & 149 \\\hline\end{array}$

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:

Nonprobability Sampling

Sampling based on a judgment by the researcher.

Random Assignment

A method in research design that allocates participants to different groups purely based on chance, ensuring that each participant has an equal opportunity to be assigned to any given group.

Control Group

A control group is a group in an experiment or study that does not receive the treatment or intervention being tested, used as a benchmark to measure the effect of the treatment.

Reliability

The extent to which an experiment, test, or measuring procedure yields the same result on repeated trials.