Chapter 14.3, Problem 24E

The accompanying two-way table was constructed using data in the article “Television Viewing and Physical Fitness in Adults” (Research Quarterly for Exercise and Sport, 1990: 315–320). The author hoped to determine whether time spent watching television is associated with cardiovascular fitness. Subjects were asked about their television-viewing habits and were classified as physically fit if they scored in the excellent or very good category on a step test. We include Minitab output from a chi-squared analysis. The four TV groups corresponded to different amounts of time per day spent watching TV (0, 1–2, 3–4, or 5 or more hours). The 168 individuals represented in the first column were those judged physically fit. Expected counts appear below observed counts, and Minitab displays the contribution to χ² from each cell. State and test the appropriate hypotheses using α = .05.

	1	2	Total
1	35	147	182
	25.48	156 .52
2	101	629	730
	102.20	627.80
3	28	222	250
	35.00	215.00
4	4	34	38
	5.32	32 .68
Total	168	1032	1200

$\begin{array}{l}\begin{array}{ccc}\text{ChiSq}& =& 3.557+0.579+\\ & & 0.014+0.002+\\ & & 1.400+0.228+\\ & & 0.328+0.053=6.161\end{array}\\ \text{df}=3\end{array}$