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

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.)

Solution

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)