SOLUTION: 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

Question 122733: 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 .01 significance level.
Pension Plan
Job Class Plan A Plan B Plan C
supervisor 10 13 29
clerical 19 80 19
labor 81 57 22
If needed I can email this plan if it makes it easier to understand.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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 .01 significance level.
Pension Plan
Job Class Plan A Plan B Plan C
supervisor 10 13 29
clerical 19 80 19
labor 81 57 22
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Run a ANOVA on the Data:
Ho: rows and columns factors are independent
Ha: there is a dependency relation between row elements and column elements.
I ran a ANOVA on a TI calculator and have p-value of 0.3321
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Conclusion: Since p-value is greater that alpha = 1% fail to reject Ho.
The row and column factors are independent.
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Cheers,
Stan H.
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