Answer to Question #263187 in Statistics and Probability for Jenelle

Question

The human resource manager at a car dealership wants to know if the ages of its employees are related to the department that they work in. Data was compiled and tabulated in a 2-way contingency table. The employees were classified according to their age and department.

Expected counts are printed below observed counts

Sales Accounts Marketing Repairs Total

20-29 8 10 27 43 88

17.74 *** 26.20 23.62

30-39 29 26 38 22 *

23.18 26.72 34.24 30.86

40-49 33 32 72 82 219

44.15 50.88 65.20 58.77

50-59 81 106 86 54 327

65.92 75.97 97.36 87.75

Total 151 ** 223 201 749

Chi-Sq = 5.348 + **** + 0.024 + 15.912 +

1.459 + 0.019 + 0.413 + 2.544 +

2.816 + 7.003 + 0.709 + 9.182 +

3.448 + 11.875 + 1.325 + 12.983 = 80.395

DF = *****, P-Value = ******

No cells with expected counts less than 5.

 

 

                       a) Name the random variables present in the table above.

                       b) Carefully define the null and alternative hypotheses of the Chi Square test underlying the generation of the above table.