5. What is the decision likely to be for values of ² obt close to 0?

7. How are the degrees of freedom computed for each test listed below?

a. A chi-square goodness-of-fit test

b. A chi-square test for independence

8. What is the shape of the chi-square distribution?

10. Write the formula for the frequency expected for a chi-square test for independence.

14. For each of the following examples, state whether the chi-square goodness-of-fit test or the chi-square test for independence is appropriate.

a. A study concerning the number of individuals who prefer one of four career options

b. A study concerning the frequency of aberrant behavior among high school freshmen, sophomores, juniors, and seniors

c. A study testing the relationship between the frequency of intimacy (low, high) and personality type (extrovert, introvert)

15. For each of the following examples, state whether the chi-square goodness-of-fit test or the chi-square test for independence is appropriate, and state the degrees of freedom (df) for the test.

a. An instructor tests whether class attendance (low, high) and grade point average (low, average, high) are independent.

b. An educator tests whether the teacher's speaking style (monotone, dynamic) and student interest (low, high) are independent.

c. A sports psychologist compares the number of athletes with Type A or Type B personality traits.

d. A public health employee evaluates the proportion of lean, healthy, overweight, and obese students at a local college.