Question

From a poll of 800 television viewers, the following data have been accumulated as to their levels of education and their preference of television station. We are interested in determining if the selection of a TV station is independent of the level of education.

                                                             Educational Level

                                        High School      Bachelor      Graduate      Total

Public Broadcasting               50                   150               80              280

Commercial Stations            150                   250             120             520

Total                                       200                   400             200             800

Conduct the appropriate hypotheses test at an alpha level of0.01.

Answer 1

H0: TV station is independent of the level of education.

vs

H1:  TV station is not independent of the level of education.

Chi square formula

Expected frequencies = (Row total* Column Total) /Grand Total.

Degree of freedom =(Row-1)(Column-1) =(2-1)*(3-1)=2

Chi square test statistic value is =12.09

P value is =0.0024<0.01

Therefore, we reject H0.

Conclusion : We can say that , at TV station is not independent of the level of education.