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:
\begin{tabular}{|c|c|c|c|c|}
\hline
WTY & WACO & VTJM & Others \\
(News) & (News) & (Cheers Reruns) & (News) & \\
15\% & 21\% & 25\% & 17\% & 22\% \\
\hline
\end{tabular}
Suppose that in the current rating period, a survey of 2,000 viewers gives the following frequencies:
\begin{tabular}{|c|c|c|c|c|}
\hline
WTY & WACO & VTJM & Others \\
(News) & (News) & (Cheers Reruns) & (News) & \\
280 & 401 & 584 & 354 & 461 \\
\hline
\end{tabular}
(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 2 decimal places.)
$\chi^2$ =
(c) Conclude viewing shares of the current rating period \_\_\_\_\_ from those of the last