In a particular metro area, there are three commercial television stations, each with its own news program from 6:00 to 6:30 p.m. According to a report in this morning’s local newspaper, a random sample of 150 viewers last night revealed 53 watched the news on WNAE (channel 5), 64 watched on WRRN (channel 11), and 33 on WSPD (channel 13).
a. State the decision rule. Use the 0.05 significance level. (Round your answer to 3 decimal places.)
H0: There is no preference with respect to TV stations.
H1: There is a preference with respect to TV stations.
b. How many degrees of freedom are there?
c. Complete the following table. (Round (fo − fe)2/fe to 2 decimal places. Round χ2 to 2 decimal places. Negative amounts should be indicated by a minus sign.)
d. What is your decision regarding H0? At the 0.05 significance level, is there a difference in the proportion of viewers watching the three channels?
