4. A sample of employees at Jumbo Electronics was asked to indicate a preference for 3...

4. A sample of employees at Jumbo Electronics was asked to indicate a preference for 3 pension plans. The results are given below, Does it seems that there is a relationship between the pension plan selected and the job classification of the employees. Use point 0.01% significance level to calculate Chi Square.
Job Class Pension Plan
Plan A Plan B Plan C
Supervisor 10 13 29
Clerical 19 80 19
Labor 81 57 22

Solutions

Expert Solution

the null and alternative hypothesis are

Ho:there is a relationship between the pension plan selected and the job classification of the employees

Ha:there is not a relationship between the pension plan selected and the job classification of the employees

using excel>addin>phstat>multiple sample test>chi square test

we have

Chi-Square Test

Observed Frequencies
	Pension Plan			Calculations
Job	A	B	C	Total	fo-fe
Supervisor	10	13	29	52	-7.33333	-10.6364	17.9697
Clerical	19	80	19	118	-20.3333	26.36364	-6.0303
Labor	81	57	22	160	27.66667	-15.7273	-11.9394
Total	110	150	70	330

Expected Frequencies
	Pension Plan
Job	A	B	C	Total	(fo-fe)^2/fe
Supervisor	17.33333	23.63636	11.0303	52	3.102564	4.786364	29.27481
Clerical	39.33333	53.63636	25.0303	118	10.5113	12.9584	1.452821
Labor	53.33333	72.72727	33.93939	160	14.35208	3.401023	4.200108
Total	110	150	70	330

Data
Level of Significance	0.01
Number of Rows	3
Number of Columns	3
Degrees of Freedom	4

Results
Critical Value	13.2767
Chi-Square Test Statistic	84.03947
*p-Value*	2.43E-17
Reject the null hypothesis

since p value of chi square test is 0.000 which is less than 0.01 so we reject Ho and conclude that there is not arelationship between the pension plan selected and the job classification of the employees

orchestra answered 1 year ago

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