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

question 32

True/False

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.She should reject the null hypothesis using a 5% level of significance.

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Definitions:

Risk-Free Return

The theoretical return on investment with no risk of financial loss, typically associated with government bonds.

Standard Deviations

A statistical measure that quantifies the dispersion or spread of a set of data points relative to its mean, often used in the context of investment returns to measure volatility.

Geometric Average Return

An average rate of return on an investment that compounds over time, calculated by taking the nth root of the total products of returns.

Dividend Corporation

A company known for regularly distributing a portion of its earnings to shareholders in the form of dividends.