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