In: Statistics and Probability
The National Sleep Foundation used a survey to determine whether
hours of sleeping per night are...
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 |
58 |
71 |
72 |
240 |
|
|
50 or older |
32 |
56 |
77 |
95 |
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 |
% |