(3) A large corporation is facing a lawsuit alleging that they are engaging in age-discrimination. Specifically, they are accused of promoting younger people at greater rates (and pass- ing over older people for promotion). The following contingency table contains data for people in the company for a one-year timeframe. Under 30 30-39 40-49 50 and over Promoted 16 22 26 15 Not Promoted 38 39 45 38 a. Which variable is the explanatory variable and which is the response variable? b. What percent of Under 30 year olds were promoted? c. What percent of over 50 year olds were promoted? d. Make a conditional disribution by age group (this means to calculate the relative frequencies after separating the data based on the different age groups). e. When you compare the proportion who were promoted across the different age groups, does there appear to be a significant change in the promotion proportions in the different age groups? (let's say that "significant change means more than a 10% difference).

(3) A large corporation is facing a lawsuit alleging that they are engaging in age-discrimination. Specifically, they are accused of promoting younger people at greater rates (and pass- ing over older people for promotion). The following contingency table contains data for people in the company for a one-year timeframe. Under 30 30-39 40-49 50 and over Promoted 16 22 26 15 Not Promoted 38 39 45 38 a. Which variable is the explanatory variable and which is the response variable? b. What percent of Under 30 year olds were promoted? c. What percent of over 50 year olds were promoted? d. Make a conditional disribution by age group (this means to calculate the relative frequencies after separating the data based on the different age groups). e. When you compare the proportion who were promoted across the different age groups, does there appear to be a significant change in the promotion proportions in the different age groups? (let's say that "significant change means more than a 10% difference).

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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Question

(3) A large corporation is facing a lawsuit alleging that they are engaging in age-discrimination.
Specifically, they are accused of promoting younger people at greater rates (and pass-
ing over older people for promotion). The following contingency table contains data
for people in the company for a one-year timeframe.
Under 30 30-39 40-49 50 and over
16
22 26
15
Not Promoted
38
39
45
38
a. Which variable is the explanatory variable and which is the response variable?
b. What percent of Under 30 year olds were promoted?
c. What percent of over 50 year olds were promoted?
d. Make a conditional disribution by age group (this means to calculate the relative
frequencies after separating the data based on the different age groups).
e. When you compare the proportion who were promoted across the different age
groups, does there appear to be a significant change in the promotion proportions
in the different age groups? (let's say that "significant change means more than a
10% difference).
Promoted

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