Instruction 19-1
the Director of Transportation of a Large Company

question 4

Multiple Choice

Instruction 19-1
The director of transportation of a large company is interested in the usage of her van pool. She considers her routes to be divided into local and non-local. She is particularly interested in learning if there is a difference in the proportion of males and females who use the local routes. She takes a sample of a day's riders and finds the following:
$$\begin{array} { | l | c | c | l | } \hline & \text { Male } & \text { Female } & \text { Total } \\\hline \text { Local } & 27 & 44 & 71 \\\hline \text { Non-Local } & 33 & 25 & 5 \\\hline \text { Total } & 60 & 69 & 129 \\\hline\end{array}$$ She will use this information to perform a chi-square hypothesis test using a level of significance of 0.05.
-Referring to Instruction 19-1,the director now wants to know if the proportion of users who are female and the proportion of users who use the local routes are the same.Which test should she use?

• A) McNemar test for difference in proportions
• B) (?)²-test for difference in proportions
• C) Z-test for difference in proportions
• D) Wilcoxon rank sum test

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Definitions:

Mouth

The opening in the face of humans and many animals, used for eating, breathing, and speaking, encased by the lips and leading to the throat and digestive tract.

Innate Preference

A natural or instinctual liking or inclination towards something without the need for learning or experience.

Sweet

A taste sensation that is pleasant and often associated with sugary substances.

Salty

A taste sensation primarily produced by the presence of sodium ions in food; colloquially can describe a feeling of bitterness or irritation.