Homework Help is Here – Start Your Trial Now!
Math
Statistics
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 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 or younger and age 40 or older. Sample data follow. Age Group Hours of Sleep 39 or younger 40 or older Fewer than 6 36 34 6 to 6.9 60 57 7 to 7.9 77 75 8 or more 67 94 (a) Conduct a test of independence to determine whether hours of sleep are independent of age. State the null and alternative hypotheses. OH: Hours of sleep per night is mutually exclusive from age. H: Hours of sleep per night is not mutually exclusive from age. OH: The proportion of people who get 8 or more hours of sleep per night is not equal across the two age groups. The proportion of people who get 8 or more hours of sleep per night is equal across the two age groups. OH: Hours of sleep per night is 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 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 or younger and age 40 or older. Sample data follow. Age Group Hours of Sleep 39 or younger 40 or older Fewer than 6 36 34 6 to 6.9 60 57 7 to 7.9 77 75 8 or more 67 94 (a) Conduct a test of independence to determine whether hours of sleep are independent of age. State the null and alternative hypotheses. OH: Hours of sleep per night is mutually exclusive from age. H: Hours of sleep per night is not mutually exclusive from age. OH: The proportion of people who get 8 or more hours of sleep per night is not equal across the two age groups. The proportion of people who get 8 or more hours of sleep per night is equal across the two age groups. OH: Hours of sleep per night is independent of age.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
See similar textbooks
icon
Related questions
Question
100%
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 36 34 6 to 6.9 60 57 7 to 7.9 77 75 8 or more 67 94 (a) Conduct a test of independence to determine whether hours of sleep are independent of age. State the null and alternative hypotheses. OH: Hours of sleep per night is mutually exclusive from age. H: Hours of sleep per night is not mutually exclusive from age. OH: 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. OH: Hours of sleep per night is independent of age. H: Hours of sleep per night is not independent of age. OH: Hours of sleep per night is not independent of age. H₂: Hours of sleep per night is 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? O Do not reject H. We cannot conclude that hours of sleep per night and age are not independent. O Do not reject H. We conclude that hours of sleep per night and age are not independent. O Reject H. We cannot conclude that hours of sleep per night and age are not independent. O Reject H. We conclude that hours of sleep per night and age are not 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 6 to 6.9 % 7 to 7.9 % 8 or more %
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 36 34 6 to 6.9 60 57 7 to 7.9 77 75 8 or more 67 94 (a) Conduct a test of independence to determine whether hours of sleep are independent of age. State the null and alternative hypotheses. OH: Hours of sleep per night is mutually exclusive from age. H: Hours of sleep per night is not mutually exclusive from age. OH: 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. OH: Hours of sleep per night is independent of age. H: Hours of sleep per night is not independent of age. OH: Hours of sleep per night is not independent of age. H₂: Hours of sleep per night is 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? O Do not reject H. We cannot conclude that hours of sleep per night and age are not independent. O Do not reject H. We conclude that hours of sleep per night and age are not independent. O Reject H. We cannot conclude that hours of sleep per night and age are not independent. O Reject H. We conclude that hours of sleep per night and age are not 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 6 to 6.9 % 7 to 7.9 % 8 or more %
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
SEE MORE TEXTBOOKS