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 | 36 | 34 |
| 6 to 6.9 | 62 | 59 |
| 7 to 7.9 | 77 | 75 |
| 8 or more | 65 | 92 |
(A) Conduct a test of independence to determine whether hours of sleep are independent of age. State the null and alternative hypotheses.
(a) H0: Hours of sleep per
night is not independent of age.
Ha: Hours of sleep per night is independent of
age.
(b)H0: Hours of sleep per
night is mutually exclusive from age.
Ha: Hours of sleep per night is not mutually
exclusive from age.
(c)H0: The proportion of
people who get 8 or more hours of sleep per night is not equal
across the two age groups.
Ha: The proportion of people who get 8 or more
hours of sleep per night is equal across the two age groups.
(d)H0: Hours of sleep per
night is independent of age.
Ha: Hours of sleep per night is not independent
of age.
(A-1)Find the value of the test statistic. (Round your answer to three decimal places.)_______________
(A-2)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?
(a)Reject H0. We conclude that hours of sleep per night and age are not independent.
(b)Reject H0. We cannot conclude that hours of sleep per night and age are independent.
(c)Do not reject H0. We cannot conclude that hours of sleep per night and age are not independent.
(d)Do not reject H0. We conclude that hours of sleep per night and age are independent.
(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?
Fewer than 6 ________%
6 to 6.9 __________%
7 to 7.9 ___________%
8 or more____________ %
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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 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...
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 Age...
to of age A options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9...
to of age A options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the options: age 39 or younger and age 40 or older. Sample data follow. 6 to 6.9 7 to 7.9 of age. Ha: Hours of sleep per night is not mutually exclusive from age. Find the value of the test statistic. (Round your answer to three decimal places.) What Is the p-value? (Round your answer to...
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 Age 49 or younger 50 or older a. Conduct a test of independence to determine whether the hours of sleep on weeknights are independent of age. Use α =...
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 6 to 6.9 63 57 Fewer than 6 Age 49 or younger 50 or older a. Conduct a test of independence to determine whether the hours...
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 6 to 6.9 Age Fewer than 7 to 7.9 8 or more Total 38 74 49 or younger 50 or older a. Conduct a test of...
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 6 to 6.9 65 Age 19 or younger 50 or older a, conduct a test of independence to determine whether the hours of sleep on weeknights...
A survey cunducted o de errm'าษ whether hours u eep per r "yht dre r dependent...
A survey cunducted o de errm'าษ whether hours u eep per r "yht dre r dependent of dye. A sample U Individuals was e'sked o indicate he nur er u huurs o sleep per mqht with ca euricd options: ev e u dn 6 hours, 6 to 6.9 hours 7 to 7.9 hours dnd ε huurs or more. Later in the survey, the individuas were asked to indicate their age with categorical options: age 39 or yournger and age 40...
CheckK MV Work The National Sleep Foundation used a survey to determine whether hours of sleeping...
CheckK MV Work 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. Age 49 or younger 50 or older a. Conduct a test of independence to determine whether the hours of sleep on weeknights are independent of age....
A research group conducted a survey about church attendance. The survey respondents were asked about their church attend...
A research group conducted a survey about church attendance. The survey respondents were asked about their church attendance and asked to indicate their age. Church Attendance Age 20 to 29 30 to 39 40 to 49 50 to 59 Yes 27 59 90 68 No 73 91 110 82 Use the sample data to determine whether church attendance is independent of age. Use a 0.05 level of significance. State the null and alternative hypotheses. H0: Church attendance is not independent...
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...
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...
to of age A options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the options: age 39 or younger and age 40 or older. Sample data follow. 6 to 6.9 7 to 7.9 of age. Ha: Hours of sleep per night is not mutually exclusive from age. Find the value of the test statistic. (Round your answer to three decimal places.) What Is the p-value? (Round your answer to...
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 Age 49 or younger 50 or older a. Conduct a test of independence to determine whether the hours of sleep on weeknights are independent of age. Use α =...
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 6 to 6.9 63 57 Fewer than 6 Age 49 or younger 50 or older a. Conduct a test of independence to determine whether the hours...
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 6 to 6.9 Age Fewer than 7 to 7.9 8 or more Total 38 74 49 or younger 50 or older a. Conduct a test of...
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 6 to 6.9 65 Age 19 or younger 50 or older a, conduct a test of independence to determine whether the hours of sleep on weeknights...
A survey cunducted o de errm'าษ whether hours u eep per r "yht dre r dependent of dye. A sample U Individuals was e'sked o indicate he nur er u huurs o sleep per mqht with ca euricd options: ev e u dn 6 hours, 6 to 6.9 hours 7 to 7.9 hours dnd ε huurs or more. Later in the survey, the individuas were asked to indicate their age with categorical options: age 39 or yournger and age 40...
CheckK MV Work 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. Age 49 or younger 50 or older a. Conduct a test of independence to determine whether the hours of sleep on weeknights are independent of age....
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