The following table shows the rank attained by male and female officers in the New York City Police Department (NYPD). a) 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
solve a and b
The following table shows the rank attained by male and female officers in the New
York City Police Department (NYPD).
a) 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
b) 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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