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 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? = 20*20/60 = 6.67

b What is the expected frequency for employees at Location Y? = 40*40/60=26.67

c What is the observed frequency for managers at Location Y?    15

d What is the observed frequency for employees at Location X? 15

X

Y

Total

Manager

5

15

20

Employee

15

25

40

Total

20

40

60