H (^) A : Teaching level and job satisfaction are not associated.
d. H 0 : The proportion of each level of job satisfaction is the same for high school teachers and
college teachers.
H (^) A : Not all of the proportions of each level of job satisfaction are the same for high school
teachers and college teachers.
e. H 0 : Teaching level and job satisfaction are independent.
H (^) A : Teaching level and job satisfaction are not associated.
A group separated into men and women are asked their preference toward certain types of television
shows. The following table gives the results.
Which of the following statements is (are) true?
I. The variables gender and program preference are independent.
II. For these data, X 2 = 0.
III. The variables gender and program preference are related.
a. I only
b. I and II only
c. II only
d. III only
e. II and III only
For the following two-way table, compute the value of X 2 .
a. 2.63
b. 1.22
c. 1.89
d. 2.04
e. 1.45
The main difference between a χ 2 test for independence and a χ 2 test for homogeneity of proportions
is which of the following?
a. They are based on a different number of degrees of freedom.
b. One of the tests is for a two-sided alternative and the other is for a one-sided alternative.
c. In one case, two variables are compared within a single population. In the other case, two