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 χ²value and decide whether it is statistically significant.

Question

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 χ²value and decide whether it is statistically significant.

Quizplus · Accepted Answer

The Answer of 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 χ²value and decide whether it is statistically significant.

Suppose That I Have Been Hired by a Large Company