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The National Sleep Foundation used a survey to determine whether hours of sleeping per night are independent of age ( Newsweek , January 19, 2004).

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 36 60 72 72 240
50 or older 33 56 70 101 260
  1. a. Conduct a test of independence to determine whether the hours of sleep on weeknights are independent of age. Use a= 0.05. Compute the value of the x2test statistic (to 2 decimals). Thepvalue is Item 2 What is your conclusion?
  2. 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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