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I Question 5 of 9 Questions 3. o ' Cheek MyWorl: 4. 0 5, Q 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 O weeknights for a sample of individuals age 49 and younger and for a sample of individuals age 50 and older. 6. 7. 0 Hours of Sleep 8 0 Age Fewer than 6 6 to 6.9 7 to 7.9 s or more Tonl ' 49 at younger 30 so 76 74 240 S. O 50 or older 34 58 78 9|] 260 a. Conduct a test of independence to determine whether the hours of sleep on weeknights are independent of age. Use ct = .05. Use Table 12.4. Compute the value of the X 2 test statistic {to 2 decimals). The p value is What is your conclusion? Select 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 ll % 6 to 6.9 hours |:| \": 7 to 7.9 hours |:| \"is: 8 or more hours |:| nth rd. \".1. n va'IATn-ul