Question

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 30 56 73 81 240 50 or older 30 59 72 99 260 Conduct a test of independence to determine whether the hours of sleep on weeknights are independent of age. Use

Answer 1

The hours are independent of age

Explanation:

chi-square = sum((Oi - Ei)^2/Ei)

chi-square = 6.76

p-value = 0.0801

as p-value > 0.05, fail to reject H0.

Hence the hours are independent of age