he following table shows the rank attained by male and female officers in the New York City Police Department (NYPD). Do these data indicate that men and women are equitably represented at all levels of the department? Test using a p-value approach. Male Female Officer 21,900 4281 Detective 4058 806 Sergeant 3898 415 Lieutenant 1333 89 Captain 359 12 Higher ranks 218 10 2. There are far more men than women in the police force in general. However, the NYC Police Commission has set itself certain goals with respect to the positions of the females among its ranks. Across the females they aim to target the same proportion by rank as they do among the males. The target proportions by category are: (1) Officer – 70% (2) Detectives – 15% (3) Sargent – 10% (4) Lieutenant – 3% (5) Captain – 1% (6) Higher – 1% Conduct a test to determine whether the proportions, by rank, among the female officers adhere to these targets. Use a 0.05 level of significance and a critical value approach.
The following table shows the rank attained by male and female officers in the New York City Police Department (NYPD).
-
- Do these data indicate that men and women are equitably represented at all levels of the department? Test using a p-value approach.
|
|
Male |
Female |
|
Officer |
21,900 |
4281 |
|
Detective |
4058 |
806 |
|
Sergeant |
3898 |
415 |
|
Lieutenant |
1333 |
89 |
|
Captain |
359 |
12 |
|
Higher ranks |
218 |
10 |
2. There are far more men than women in the police force in general. However, the NYC Police Commission has set itself certain goals with respect to the positions of the females among its ranks. Across the females they aim to target the same proportion by rank as they do among the males. The target proportions by category are:
(1) Officer – 70% (2) Detectives – 15% (3) Sargent – 10%
(4) Lieutenant – 3% (5) Captain – 1% (6) Higher – 1%
Conduct a test to determine whether the proportions, by rank, among the female officers adhere to these targets. Use a 0.05 level of significance and a critical value approach.
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