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.

a. Conduct a test of independence to determine whether the hours of sleep on weeknights are independent of age. Use α = .05. What is the p-value, and what is your conclusion?
b. What is your estimate of the percentage of people who sleep fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 or more hours on weeknights?

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Hours of Sleep Fewer than 6 38 36 .9 7t7.9 8 or more Total 240 260 Age 49 or younger 50 or older 60 57 65 92 75