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

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Topic Video
Question

The second slide is the first part of the question  and the first slide is the second part of the question

(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
Transcribed Image Text:(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
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
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.
O H: Hours of sleep per night is mutually exclusive from age.
: Hours of sleep per night is not mutually exclusive from age.
O H: Hours of sleep per night is independent of age.
H: Hours of sleep per night is not independent of age.
O H: 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.
O H: Hours of sleep per night is not independent of age.
H: 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
%3D
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 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 conclude that hours of sleep per night and age are not independent.
1:24 PM
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 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. O H: Hours of sleep per night is mutually exclusive from age. : Hours of sleep per night is not mutually exclusive from age. O H: Hours of sleep per night is independent of age. H: Hours of sleep per night is not independent of age. O H: 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. O H: Hours of sleep per night is not independent of age. H: 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 %3D 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 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 conclude that hours of sleep per night and age are not independent. 1:24 PM
Expert Solution
steps

Step by step

Solved in 6 steps with 1 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman