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 of independence,the value of the test statistic is:
A)12.221
B)15.378
C)17.853
D)20.154

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 of independence,the value of the test statistic is:
A)12.221 
B)15.378 
C)17.853 
D)20.154

Quizplus · Accepted Answer

To perform a chi-square test of independence, we need to calculate the expected frequencies for each cell assuming there is no relationship between race and position. We can then use these expected frequencies to calculate the chi-square test statistic. Using a calculator or software, we get a test statistic of 15.378 with 6 degrees of freedom and a p-value less than 0.05. Therefore, we reject the null hypothesis and conclude that there is a significant relationship between race and position in this organization.