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Hours of Sleep Fewer than 6 6 to 6.9 7 to 7.9 8 or more 39 or younger 40 or older 38 60 77 Age Group 65 36 57 75 92 Conduct a test of independence to determine whether hours of sleep are independent of age. State the null and alternative hypotheses. O Ho: Hours of sleep per night is mutually exclusive from age. H₂: Hours of sleep per night is not mutually exclusive from age. O Ho: Hours of sleep per night is independent of age. H₂: 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 Ho: 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 =

Hours of Sleep Fewer than 6 6 to 6.9 7 to 7.9 8 or more 39 or younger 40 or older 38 60 77 Age Group 65 36 57 75 92 Conduct a test of independence to determine whether hours of sleep are independent of age. State the null and alternative hypotheses. O Ho: Hours of sleep per night is mutually exclusive from age. H₂: Hours of sleep per night is not mutually exclusive from age. O Ho: Hours of sleep per night is independent of age. H₂: 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 Ho: 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 =

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Hours of Sleep (b) Fewer than 6 6 to 6.9 7 to 7.9 8 or more 39 or younger 40 or older 38 60 77 Age Group 65 36 57 % % % % 75 (a) Conduct a test of independence to determine whether hours of sleep are independent of age. State the null and alternative hypotheses. O Ho: Hours of sleep per night is mutually exclusive from age. H₂: Hours of sleep per night is not mutually exclusive from age. 92 O Ho: Hours of sleep per night is independent of age. H₂: Hours of sleep per night is not independent of age. O 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. O Ho: 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 Ho. We cannot conclude that hours of sleep per night and age are not independent. Reject Ho. We conclude that hours of sleep per night and age are not independent. O Reject Ho. We cannot conclude that hours of sleep per night and age are not independent. O Do not reject Ho. We conclude that hours of sleep per night and age are not independent. 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 K
Transcribed Image Text:Hours of Sleep (b) Fewer than 6 6 to 6.9 7 to 7.9 8 or more 39 or younger 40 or older 38 60 77 Age Group 65 36 57 % % % % 75 (a) Conduct a test of independence to determine whether hours of sleep are independent of age. State the null and alternative hypotheses. O Ho: Hours of sleep per night is mutually exclusive from age. H₂: Hours of sleep per night is not mutually exclusive from age. 92 O Ho: Hours of sleep per night is independent of age. H₂: Hours of sleep per night is not independent of age. O 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. O Ho: 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 Ho. We cannot conclude that hours of sleep per night and age are not independent. Reject Ho. We conclude that hours of sleep per night and age are not independent. O Reject Ho. We cannot conclude that hours of sleep per night and age are not independent. O Do not reject Ho. We conclude that hours of sleep per night and age are not independent. 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 K
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