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The National Sleep Foundation used a survey to determine whether hours of sleeping per night are independent of age ( Newsweek , January 19, 2004).
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 | 36 | 60 | 72 | 72 | 240 |
50 or older | 33 | 56 | 70 | 101 | 260 |
- a. Conduct a test of independence to determine whether the hours of sleep on weeknights are independent of age. Use a= 0.05. Compute the value of the x2test statistic (to 2 decimals). Thepvalue is Item 2 What is your conclusion?
- b. 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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