Suppose That I Have Been Hired by a Large Company

question 7

Essay

Suppose that I have been hired by a large company to investigate an employee's accusation that there are more men than women in the higher-paying, upper management level positions within the company. I select a random sample of 100 male and 100 female employees and find out how many of each gender are in entry level, middle management, or upper management positions within the company. I get the data that a presented in the table below:
$\begin{array}{lccc|c} \hline& \text { Entry level } & \begin{array}{c}\text { Middle } \\\text { management }\end{array} & \begin{array}{c}\text { Upper } \\\text { management }\end{array} & \text { Row Total } \\\hline \text { Women } & 50 & 30 & 20 & 100 \\\\\text { Men } & 35 & 35 & 30 & 100 \\\\\hline \begin{array}{l}\text { Column } \\\text { Total }\end{array} & 85 & 65 & 50 & 200 \\\hline\end{array}$ a. Calculate the expected frequencies for each cell in the table.
b. Using the formula in Table 14.5, find the values needed to calculate the
c. Calculate the χ² value and decide whether it is statistically significant.

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