Question

In: Statistics and Probability

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 2 years ago
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