The National Sleep Foundation used a survey to determine whether
hours of sleeping per night are independent of age
(Newsweek, January 19, 2004). The following show the hours
of sleep on weeknights for a sample of individuals age 49 and
younger and for a sample of individuals age 50 and older.
Hours of Sleep | |||||||
Age | Fewer than 6 | 6 to 6.9 | 7 to 7.9 | 8 or more | Total | ||
49 or younger | 39 | 55 | 70 | 76 | 240 | ||
50 or older | 30 | 61 | 76 | 93 | 260 |
Conduct a test of independence to determine whether the hours of
sleep on weeknights are independent of age. Use = .05.
Use Table 12.4.
Compute the value of the 2 test statistic (to 2
decimals).
The p value is Selectless than .005between .005 and
.01between .01 and .025between .025 and .05between .05 and
.10greater than .10Item 2
What is your conclusion?
SelectConclude age and hours of sleep are not independentCannot
reject the assumption that age and hours of sleep are
independentItem 3
Using the total sample of 500, estimate the percentage of people who sleep less than 6, 6 to 6.9, 7 to 7.9, and 8 or more hours on weeknights (to 1 decimal).
Less than 6 hours | % |
6 to 6.9 hours | % |
7 to 7.9 hours | % |
8 or more hours | % |
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