Question

The National Sleep Foundation used a survey to determine whether hours of sleep per night are independent of age (Newsweek, January 19, 2004). 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	39 or younger	40 or older
Fewer than 6	36	33
6 to 6.9	58	54
7 to 7.9	75	72
8 or more	63	90

a) State the null and alternative hypotheses.

b) Calculate the expected frequency. Show your work for full credit.

c) Find the degrees of freedom. Show your work for full credit.

d) Compute chi-square statistic (?2). Show your work for full credit.

e) Draw your conclusion. State your conclusion in a complete sentence and use words a non-statistician would understand. Show your work for full credit.

Answer 1

Thank You!