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The national sleep foundation used a survey to determine whether hours of sleeping per night are independent of age. 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.
age
fewer than 6
6 to 6.9
7 to 7.9
8 or more
total
49 or younger
38
60
77
65
240
50 or older
36
57
75
92
260
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 6hours, 6 to 6.9 hours, 7 to 7.9 hours and 8 or more hours on weeknights?
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