A large company is interested in knowing whether there is any relationship between a persons age and that persons opinion about a new wage incentive plan. A random sample of 100 employees was selected and cross- classified as shown below.
At the 1% level of significance, can it be concluded that there is a relationship between an employees age and an employees opinion about the new wage incentive plan? Formulate and test the appropriate hypothesis. Use the critical value approach.
|
|
Persons Opinion
|
Persons Age
|
|
Opposed
|
Neutral
|
Favor
|
Total
|
Under 35
|
5
|
5
|
10
|
20
|
35 to 55
|
10
|
30
|
10
|
50
|
Over 55
|
15
|
10
|
5
|
30
|
|
Total
|
30
|
45
|
25
|
100
|