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. Using a .05 level of significance.

Compute the value of the X^2 test statistic (to 2 decimals)

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? Round your answer to one decimal place.

Fewer than 6 = ? %

6 to 6.9 = ? %

7 to 7.9 = ? %

8 or more = ? %