A researcher selects a sample of 60 people to investigate th

A researcher selects a sample of 60 people to investigate the relationship between title at work (manager or employee) and branch location (Location X or Location Y). Of the 20 people working at Location X, 5 are managers. Of the 40 people working at Location Y, 15 are managers. Based on the information in this scenario:

a What is the expected frequency for managers at Location X?

b What is the expected frequency for employees at Location Y?

c What is the observed frequency for managers at Location Y?

d What is the observed frequency for employees at Location X?

Solution

a) The expected frequency for managers at Location X = (20*20)/60 = 6.67

b) The expected frequency for employees at Location Y = (40*40)/60 = 20.67

c) The observed frequency for managers at Location Y =15

d) The observed frequency for employees at Location X = 15