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 77 68 240 50 or older 38 63 73 86 260 a. Conduct a test of independence to determine whether the hours of sleep on weeknights are independent of age. Use a = .05. Use Table 12.4. Compute the value of the X 2 test statistic (to 2 decimals). The p value is greater than .10 c What is your conclusion? Cannot reject the assumption that age and hours of sleep are independent 6 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 15 % 6 to 6.9 hours 24.2 % 7 to 7.9 hours 30 \"In 8 or more hours 30.8 %