In: Statistics and Probability
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.
Hours of Sleep | Age Group | |
---|---|---|
39 or younger | 40 or older | |
Fewer than 6 | 40 | 38 |
6 to 6.9 | 60 | 57 |
7 to 7.9 | 75 | 73 |
8 or more | 65 | 92 |
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 = ____
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__%