Answered: The following table shows the rank…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The following table shows the rank attained by male and female officers in the New York City Police Department (NYPD).
1. 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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