With reference to Example 13, repeat the analysis after combining the categories below average and average in the training program and the categories poor and average in success. Comment on the form of the dependence.

Data From Example 13

EXAMPLE 13 The chi square test of independence To determine whether there really is a relationship between an employee's perfor- mance in the company's training program and his or her ultimate success in the job, the company takes a sample of 400 cases from its very extensive files and obtains the results shown in the following table: Performance in training program Below Above average Average average Total Poor 23 60 29 112 Success in job (employer's rating) Average 28 79 60 167 Very good 9 49 63 121 Total 60 188 152 400 Use the 0.01 level of significance to test the null hypothesis that performance in the training program and success in the job are independent.