A test of independence for the two categorical variables hours of sleep and age group is to be conducted. Th goal of the test is to determine if the hours of sleep per night is not independent of age. Therefore, we will testing the following hypotheses. Ho: Hours of sleep per night is not independent of age. H3: Hours of sleep per night is independent of age. Ho: The proportion of people who get 8 or more hours of sleep per night is not equal across the two age groups. H2: The proportion of people who get 8 or more hours of sleep per night is equal across the two age groups. Ho: Hours of sleep per night is independent of age. H: Hours of sleep per night is not independent of age. a'

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(a) Conduct a test of independence to determine whether hours of sleep are independent of age.
The first step in conducting a hypothesis test is to determine the hypotheses. The null hypothesis, Ho, is a
statement that is assumed to be true. The alternative hypothesis, Ha, is what the test is attempting to
establish.
A test of independence for the two categorical variables hours of sleep and age group is to be conducted. The
goal of the test is to determine if the hours of sleep per night is not independent of age. Therefore, we will be
testing the following hypotheses.
Ho: Hours of sleep per night is not independent of age.
H: Hours of sleep per night is independent of age.
Ho:
The proportion of people who get 8 or more hours of sleep per night is not equal across the two
age groups.
H: The proportion of people who get 8 or more hours of sleep per night is equal across the two age
groups.
Ho: Hours of sleep per night is independent of age.
: Hours of sleep per night is not independent of age.
Ho: Hours of sleep per night is mutually exclusive from age.
H: Hours of sleep per night is not mutually exclusive from age.
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Transcribed Image Text:(a) Conduct a test of independence to determine whether hours of sleep are independent of age. The first step in conducting a hypothesis test is to determine the hypotheses. The null hypothesis, Ho, is a statement that is assumed to be true. The alternative hypothesis, Ha, is what the test is attempting to establish. A test of independence for the two categorical variables hours of sleep and age group is to be conducted. The goal of the test is to determine if the hours of sleep per night is not independent of age. Therefore, we will be testing the following hypotheses. Ho: Hours of sleep per night is not independent of age. H: Hours of sleep per night is independent of age. Ho: The proportion of people who get 8 or more hours of sleep per night is not equal across the two age groups. H: The proportion of people who get 8 or more hours of sleep per night is equal across the two age groups. Ho: Hours of sleep per night is independent of age. : Hours of sleep per night is not independent of age. Ho: Hours of sleep per night is mutually exclusive from age. H: Hours of sleep per night is not mutually exclusive from age. Submit Skip (you cannot come back)
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.
Age Group
Hours of Sleep
39 or younger
40 or older
Fewer than 6
38
36
6 to 6.9
60
57
7 to 7.9
76
74
8 or more
66
93
(a) Conduct a test of independence to determine whether hours of sleep are independent of age.
(b) 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?
Transcribed Image Text: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. Age Group Hours of Sleep 39 or younger 40 or older Fewer than 6 38 36 6 to 6.9 60 57 7 to 7.9 76 74 8 or more 66 93 (a) Conduct a test of independence to determine whether hours of sleep are independent of age. (b) 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?
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