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?
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.
| Department A | Department B | Department C |
(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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