The Wall Street Journal Corporate Perceptions Study 2011 surveyed readers and asked how each rated the Quality of Management and the Reputation of the Company for over world-wide corporations. Both the Quality of Management and the Reputation of the Company were rated on an Excellent, Good, and Fair categorical scale. Assume the sample data for respondents below applies to this study.

Reputation of Company

Quality of management Excellent Good Fair

Excellent 40 25 5
Good 35 35 10
Fair 25 10 15

a. Use a= 0.05 level of significance and test for independence of the quality of management and the reputation of the company. What is the p-value and what is your conculsion?
b. If there is a dependence or association between the two ratings, discuss and use the probabilities to justify your answer.