Question
In: Statistics and Probability
A survey was conducted to determine whether hours of sleep per night are independent of age....
A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. Sample data follow.
| Hours of Sleep | Age Group | |
|---|---|---|
| 39 or younger | 40 or older | |
| Fewer than 6 | 38 | 36 |
| 6 to 6.9 | 60 | 57 |
| 7 to 7.9 | 75 | 73 |
| 8 or more | 67 | 94 |
(a)
Conduct a test of independence to determine whether hours of sleep are independent of age.
Find the value of the test statistic. (Round your answer to three decimal places.)
What is the p-value? (Round your answer to four decimal places.)
p-value =
Using a 0.05 level of significance, what is your conclusion?
What is your estimate of the percentages of individuals who sleep fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more per night?
Fewer than 6 %
6 to 6.9 %
7 to 7.9 %
8 or more %
Solutions
orchestra answered 1 year agoRelated Solutions
A survey was conducted to determine whether hours of sleep per night are independent of age....
A survey was conducted to determine whether hours of sleep per
night are independent of age. A sample of individuals was asked to
indicate the number of hours of sleep per night with categorical
options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8
hours or more. Later in the survey, the individuals were asked to
indicate their age with categorical options: age 39 or younger and
age 40 or older. Sample data follow.
Hours...
A survey was conducted to determine whether hours of sleep per night are independent of age....
A survey was conducted to determine whether hours of sleep per
night are independent of age. A sample of individuals was asked to
indicate the number of hours of sleep per night with categorical
options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8
hours or more. Later in the survey, the individuals were asked to
indicate their age with categorical options: age 39 or younger and
age 40 or older. Sample data follow.
Hours...
A survey was conducted to determine whether hours of sleep per night are independent of age....
A survey was conducted to determine whether hours of sleep per
night are independent of age. A sample of individuals was asked to
indicate the number of hours of sleep per night with categorical
options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8
hours or more. Later in the survey, the individuals were asked to
indicate their age with categorical options: age 39 or younger and
age 40 or older. Sample data follow.
Hours...
A survey was conducted to determine whether hours of sleep per night are independent of age....
A survey was conducted to determine whether hours of sleep per
night are independent of age. A sample of individuals was asked to
indicate the number of hours of sleep per night with categorical
options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8
hours or more. Later in the survey, the individuals were asked to
indicate their age with categorical options: age 39 or younger and
age 40 or older. Sample data follow.
Hours...
A survey was conducted to determine whether hours of sleep per night are independent of age....
A survey was conducted to determine whether hours of sleep per
night are independent of age. A sample of individuals was asked to
indicate the number of hours of sleep per night with categorical
options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8
hours or more. Later in the survey, the individuals were asked to
indicate their age with categorical options: age 39 or younger and
age 40 or older. Sample data follow.
Hours...
A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical option
A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. Sample data follow....
The National Sleep Foundation used a survey to determine whether hours of sleep per night are...
The National Sleep Foundation used a survey to determine whether
hours of sleep per night are independent of age (Newsweek, January
19, 2004). A sample of individuals was asked to indicate the number
of hours of sleep per night with categorical options: fewer than 6
hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later
in the survey, the individuals were asked to indicate their age
with categorical options: age 39 or younger and age...
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
35
65
71
69
240
50
or older
37...
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 30 63 78 69
240 50 or older 40...
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
38
56
70
76
240
50 or older
30...
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