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 mangers. 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