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

question 3

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 male and the proportion of users who use the local routes are the same.What should be her conclusion?

• A) There is insufficient evidence that the proportion of users who are male is not the same as the proportion of users who use the local routes.
• B) There is sufficient evidence that the proportion of users who are male is not the same as the proportion of users who use the local routes.
• C) There is insufficient evidence that the proportion of users who are male is the same as the proportion of users who use the local routes.
• D) There is sufficient evidence that the proportion of users who are male is the same as the proportion of users who use the local routes.

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Definitions:

Centimeters

A metric unit of length equal to one hundredth of a meter.

Dimensional-Analysis

A method in physics and engineering to check the consistency of equations and to perform unit conversions.

Conversion Factor

A numerical value used to convert quantities expressed in one unit into another unit of measure.