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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 =

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 1E
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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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