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 32 60 72 76 240 50 or older 33 63 72 92 260 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 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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The National Sleep Foundation used a survey to determine whether hours of sleeping per night are independent of age (ewsweek, 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
32
60
72
76
240
50 or older
33
63
72
92
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 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
Transcribed Image Text:The National Sleep Foundation used a survey to determine whether hours of sleeping per night are independent of age (ewsweek, 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 32 60 72 76 240 50 or older 33 63 72 92 260 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 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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