From the poll of 800 television viewers, the following data have been accumulated as to their levels of education and their preference of television stations. We are interested in estimating if the selection of TV station is independent of 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
a. Determine the null and the alternative hypotheses.
b. Describe the contingency table of the expected frequencies.
c. Calculate the test statistic.
d. The null hypothesis is to be tested at 95% confidence. Find out the critical value for this test.
e. Find out the p-value and perform the test.