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.

Q Do not reject \"0' We cannot conclude that hours of sleep per night and age are independent. 0 Do not reject \"0' We cannot conclude that hours of sleep per night and age are not independent. O Reject HD' We conclude that hours of sleep per night and age are independent. O Reject \"0' We conclude that hours of sleep per night and age are not independent. Age Group Hours of Sleep 39 or younger 40 or older Fewer than 6 40 38 6 to 6.9 60 57 7 to 7.9 77 75 8 or more 63 90C} H\": Hours of sleep per night is mutuallyr exclusive from age. Ha: Hours of sleep per night Is not mutuallyr excluswe from age. 0 H\": Hours of sleep per night is independent of age. Ha: Hours of sleep per night is not independent of age. 0 H\": Hours of sleep per night is not independent of age. Ha: Hours of sleep per night is independent of age. 0 H\": The proportion of people Who get 8 or more hours of sleep per night is not equal across the two age groups. H3: The propoition of people Who get 8 or more hours of sleep per night is equal across the two age groups