Instruction 15-7
the Director of Transportation of a Large Company

question 75

Short Answer

Instruction 15-7
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:
$$\begin{array} { | l | c | c | c | } \hline & \text { Male } & \text { Female } & \text { Total } \\\hline \text { Local } & 27 & 44 & 71 \\\hline \text { Non-Local } & 33 & 25 & 58 \\\hline \text { Total } & 60 & 69 & 129 \\\hline\end{array}$$ She will use this information to perform a chi-square hypothesis test using a level of significance of 0.05.
-Referring to Instruction 15-7,the critical value of the test is ________.

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Definitions:

Perfect Square Trinomial

A trinomial expression that is the square of a binomial, taking the form \(a^2 + 2ab + b^2\).

Polynomial

A mathematical expression involving a sum of powers in one or more variables multiplied by coefficients.

Perfect Square Trinomial

A trinomial that can be factored into two identical binomials, resulting from squaring a binomial.

Simple Interest

A way of calculating interest where the amount earned or paid is proportional to the initial sum invested or borrowed and the rate of interest.