Exhibit 12.6 The following table shows the distribution of employees in an Organization.Martha Foreman,an analyst wants to see if race has a bearing on the position a person holds with this company. Refer to Exhibit 12.6.For the chi-square test for independence,the degrees of freedom used are:
A)2
B)16
C)9

Question

Exhibit 12.6 The following table shows the distribution of employees in an Organization.Martha Foreman,an analyst wants to see if race has a bearing on the position a person holds with this company.  Refer to Exhibit 12.6.For the chi-square test for independence,the degrees of freedom used are:
A)2 
B)16 
C)9

Quizplus · Accepted Answer

The degrees of freedom used for chi-square test for independence is calculated as follows: (number of rows - 1) x (number of columns - 1). In this case, there are 3 rows and 4 columns, so the degrees of freedom used is (3-1) x (4-1) = 2 x 3 = 6. However, since the null hypothesis is being tested (i.e. race and position are independent), one cell frequency is dependent on the others, so one degree of freedom is lost. Therefore, the degrees of freedom used for the test is 6-1 = 5. However, none of the answer choices match 5, so the closest option is C, which is 9, but this is not the exact number of degrees of freedom used in the test.