In: Math
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 37 58 71 74 240 50 or older 34 60 79 87 260
a.Conduct a test of independence to determine whether the hours of sleep on weeknights are independent of age. Use = .05.
Compute the value of the 2 test statistic (to 2 decimals).
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 %