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CheckK MV Work 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. Age 49 or younger 50 or older a. Conduct a test of independence to determine whether the hours of sleep on weeknights are independent of age. Use α = .05. Use Table 12.4 Hours of Sleep 6 to 6.9 57 57 Fewer than 6 7 to 7.9 79 70 8 or more Total 240 260 71 36 97 Compute the value of the X 2 test statistic (to 2 decimals) The ρ value is select 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 6 to 6.9 hours 7 to 7.9 hours 8 or more hours

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Solution Sleap On weekni 49 and Yo^» ond indvidls g 50 and olde ic 41 ox Young33 50 or olde36 57 79 귀 240 260 500 51 tyq 163 Trobenved fvequencr is given and we find尿peded freuen, as -) For 4o Youn 33-12 500 *) howing6-to 6-9 500 -> having ? to 7.q 500 z) havina 8 or Monu 2y0X16S 500o-722127 t 1-1ร่240079十 1,0631546 X3.90 Ix3 df3 Pvalve 0.2325 33+ 36 500 XI” t 13.3% 6 to 69 hous 57十57 5 00子9 +70 500 ) O move 귀 t93-x100 100-33.6% 5 60

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