A researcher selects a sample of 60 people to investigate the relationship betwe
ID: 3393066 • Letter: A
Question
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?
Explanation / Answer
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
X
Y
Total
Manager
5
15
20
Employee
15
25
40
Total
20
40
60
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