Question

In: Statistics and Probability

A survey was conducted to determine whether hours of sleep per night are independent of age....

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 38 36
6 to 6.9 60 57
7 to 7.9 75 73
8 or more 67 94

(a)

Conduct a test of independence to determine whether hours of sleep are 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?

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 %

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Answer: ---- Date: ----5/6/2019


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