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In: Statistics and Probability

The National Sleep Foundation used a survey to determine whether hours of sleeping per night are...

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 39 58 71 72 240
50 or older 32 56 77 95 260
  1. Conduct a test of independence to determine whether the hours of sleep on weeknights are independent of age. Use  = .05. Use Table 12.4.

    Compute the value of the  2 test statistic (to 2 decimals).


    The p value is Selectless than .005between .005 and .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 2

    What is your conclusion?
    SelectConclude age and hours of sleep are not independentCannot reject the assumption that age and hours of sleep are independentItem 3
  2. 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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Expert Solution

orchestra answered 3 years ago
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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 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 63 78 69 240 50 or older 40...
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