1. When the expected frequency is less than 5 for a specific class, what should be done so that you can use the goodness–of–fit test?

2. A researcher wishes to see if the five ways (drinking caffeinated beverages, taking a nap, going for a walk, eating a sugary snack, other) people use to combat midday drowsiness is equally distributed among office workers. A random sample of 60 office workers is selected, and the following data are obtained. At = 0.10, can it be concluded that there is no preference? Why would the results be of interest to an employer?

3. According to the Bureau of Transportation Statistics, on-time performance by the airlines is described as follows:

4. The Head Start Program provides a wide range of services to low-income children up to the age of 5 years and their families. Its goals are to provide services to improve social and learning skills and to improve health and nutrition status so that the participants can begin school on an equal footing with their more advantaged peers. The distribution of ages for participating children is as follows: 4% five-years-olds, 52% four-years-olds, 34% three-years-olds, and 10% under 3 years. When the program was assessed in a particular region, it was found that of the 200 randomly selected participants, 20 were 5 years old, 120 were 4 years old, 40 were 3 years old, and 20 were under 3 years. Is there sufficient evidence at =0.05 that the proportions differ from the program’s? Use the P-value method.

5. How are the degrees of freedom computed for the independence test?

6. What is the name of the table used in the independence test?

7. Are movie admissions related to ethnicity? A 2007 study indicated the following numbers for two different years. At the 0.05 level of significance, can it be concluded that movie attendance by year was dependent upon ethnicity?