Problem 3: A Corporate Perceptions Study surveyed 200 readersand asked them on how they would rate XYZ Corporation on the“Quality of Management†and the “Reputation of the Companyâ€. Thetwo variables of the study were rated on a categorical scale asexcellent, good, and fair. The sample data on 200 responses for thestudy is summarized as follows. Conduct an appropriate hypothesistest for this problem to check if the variables are independent ofeach other. Reputation of Company Quality of Management ExcellentGood Fair Excellent 39 26 5 Good 36 34 10 Fair 25 10 15 Problem 3d)Calculate and show the chi-square components in a table. What isthe test statistic value? Problem 3e) Type in the Excel functionwith inputs to be used to determine p-value. What is the p-value?Conduct Hypothesis test using p-value approach (at .004 level ofsignificance). What is the decision on the hypothesis test? Problem3f) Type in the Excel function with inputs to be used to determineCritical-value. What is the Critical-value? Conduct Hypothesis testusing Critical-Value approach (at .008 level of significance). Whatis the decision on the hypothesis test? Problem 3g) Are thedecisions under the p-value and critical-value approachesdifferent? If they are different, why are they different? If theyare not different, why are they not different? Problem 3h) Based ontest decisions under parts 3e) and 3f), what conclusion would youdraw? Does your conclusion sound meaningful?
