In: Statistics and Probability
Question 2: Last rating period, the percentages of viewers watching several channels between 11 p.m. and 11:30 p.m. in a major TV market were as follows:
WDUX (News) |
WWTY (News) |
WACO (Cheers Reruns) |
WTJW (News) |
Others |
15% | 19% | 24% | 19% | 23% |
Suppose that in the current rating period, a survey of 2,000 viewers gives the following frequencies:
WDUX (News) |
WWTY (News) |
WACO (Cheers Reruns) |
WTJW (News) |
Others |
284 | 414 | 445 | 352 | 505 |
% of Viewers of TV channels | |||
Channels | % of Viewers, Last Rating Period | Frequencies, Current Rating Period | |
WDUX ( news) | 15% | 284 | |
WWTV (news) | 19% | 414 | |
WACO (Cheers Reruns) | 24% | 445 | |
WTJW (news) | 19% | 352 | |
Others | 23% | 505 |
(a) Show that it is appropriate to carry out a chi-square test using these data.
Each expected value is => _________
(b) Determine whether the viewing shares in the current rating period differ from those in the last rating period at the .10 level of significance. (Round your answer to 3 decimal places.)
X^2=_________