A sample of employees at a large chemical plant was asked to indicate a preference for one of three pension plans. The results are given in the following table. Does it seem that there is a relationship between the pension plan selected and the job classification of the employees? Use the 0.02 significance level.
Pension Plan | |||
Job Class | Plan A | Plan B | Plan C |
Supervisor | 35 | 30 | 34 |
Clerical | 35 | 33 | 42 |
Labor | 40 | 66 | 48 |
Excel data
Pension Plan |
||||
Job Class |
Plan A |
Plan B |
Plan C |
|
Supervisor |
35 |
30 |
34 |
|
Clerical |
35 |
33 |
42 |
|
Labor |
40 |
66 |
48 |
|
State the decision rule. Use 0.02 significance level. (Round your answer to 3 decimal places.)
H0: Pension plan preference and job class are not related.
H1: Pension plan preference and job class are related.
Compute the value of chi-square. (Round your answer to 3 decimal places.)
What is your decision regarding H0?
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