Provide an Appropriate Response The Data in the Table Do Not Take into Account

question 31

Essay

Provide an appropriate response.
-A company encourages applications from minority groups who they feel are under-represented in the company. The table shows the number of applications that were accepted last year from people belonging to minority groups and the number of applications that were accepted from people not belonging to minority groups. Only applications from well qualified applicants are included in the analysis. (a) Does the acceptance rate appear to be higher for those belonging to minority groups or for those not belonging to minority groups ? Why?
$\begin{array}{l|cc} & \text { Minority } & \text { Not minority } \\\hline \text { Accepted } & 70 & 79 \\\text { Rejected } & 460 & 500\end{array}$

The data in the table do not take into account the department of the company. The data shown in the next table show the number of applications accepted from each group within each department.


(b) Determine the proportion of minority applications that were accepted within department A. Determine the proportion of non-minority applications that were accepted within department A.
(c) Repeat part (b) for departments B and C to create a conditional distribution of acceptance rate by group for each department of the company.
(d) Write a short report detailing and explaining your findings.

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Definitions:

Bailees

Individuals or entities that have been given temporary possession but not ownership of a property under a bailment agreement.

Liability

A legal responsibility or obligation, often involving financial compensation for damage or harm caused.

Prudently

Acting with or showing care and thought for the future, typically in the management of resources or decision-making processes.

Repair Costs

Expenses incurred to fix or restore damaged or worn-out goods or property to their original condition.