A sample of employees at a large chemical plant was asked to indicate a preferen

Question

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. (Round your answers to 3 decimal places.)

Pension Plan Job Class Plan A Plan B Plan C Supervisor 10 13 29 Clerical 19 80 19 Labor 81 57 22 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. (Round your answers to 3 decimal places.)

Explanation / Answer

The degree of freedom =n-1=5-1=4

Given a=0.01, the ciritical value of X^2 with 0.99 and df=4 is 13.277 (from chisquare table)

Reject H0 if X2 > 13.277

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Plan A   Plan B   Plan C   Total   Supervisor Observed   10 13 29 52 Expected   17.33 23.64 11.03 52.00 (O - E)

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