Two Categorical Variables: The Chi-Square Test

© 2006 W.H. Freeman and Company

1. Below is a table showing the results of a simple random sample asking respondents what types of cars they drive and their commuting distance to work in miles. What proportion of the people in the sample drive less than 20 miles to work?

a) 33 / 175 = 0.189

b) 33 / 250 = 0.132

c) 175 / 250 = 0.700

d) 75 / 250 = 0.300

e) 52 / 250 = 0.208

1. Below is a table showing the results of a simple random sample asking respondents what types of cars they drive and their commuting distance to work in miles. What proportion of the people in the sample drive less than 20 miles to work?

a) 33 / 175 = 0.189

b) 33 / 250 = 0.132

c) 175 / 250 = 0.700

d) 75 / 250 = 0.300

e) 52 / 250 = 0.208

2. Our general null hypothesis with two-way tables is:

A. The means are equal

B. The standard deviations are equal

C. No relationship between the variables

D. One variable causes the other

2. Our general null hypothesis with two-way tables is:

a) The means are equal

b) The standard deviations are equal

c) No relationship between the variables

d) One variable causes the other

3. The Chi Square test of independence compares the counts in the table to:

A. The mean of the samples

B. The expected counts

C. Percentages within the table

D. Confidence intervals

3. The Chi Square test of independence compares the counts in the table to:

a) The mean of the samples

b)The expected counts

c) Percentages within the table

d) Confidence intervals

4. With a two-way table we cannot do multiple comparisons because that would be “cheating” so

we do

A. A T-test

B. An Individual

C. A residual test

D. An Overall test

4. With a two-way table we cannot do multiple comparisons because that would be “cheating” so

we do

a) A T-test

b) An Individual

c) A residual test

d)An Overall test

5. A specific chi square distribution is specified by the:

A. Mean

B. Proportion

C. Population parameter

D. Degrees of freedom

E. Confidence interval

5. A specific chi square distribution is specified by the:

a) Mean

b) Proportion

c) Population parameter

d)Degrees of freedom

e) Confidence interval

6. The alpha level for a Chi square test is:

A. .01

B. .05

C. .33

D. Unknown

E. null

6. The alpha level for a Chi square test is:

a) .01

b) .05

c) .33

d) Unknown

e) null

7. Chi Square requires that the expected counts be less than 5 in no more than ___ of the cells.

A. 20%

B. 60%

C. 80%

D. 85%

7. Chi Square requires that the expected counts be less than 5 in no more than ___ of the cells.

a) 20%

b) 60%

c) 80%

d) 85%

8. Chi Square requires that the expected counts be at least ___ in 80% of the cells.

A. 1

B. 2

C. 3

D. 4

E. 5

8. Chi Square requires that the expected counts be at least ___ in 80% of the cells.

a) 1

b) 2

c) 3

d) 4

e) 5

9. _____ counts are the counts we would expect if Ho were true.

A. Expected

B. Traditional

C. Experiential

D. Cell

E. Observed

9. _____ counts are the counts we would expect if Ho were true.

A. Expected

B. Traditional

C. Experiential

D. Cell

E. Observed

10. One formula for expected counts is row total * column total table total. Chi square tests involve

____ data.

A. measurement

B. Traditional

C. categorical

D. quantitative

E. ratio

10. One formula for expected counts is row total * column total table total. Chi square tests involve

____ data.

A. measurement

B. Traditional

C. categorical

D. quantitative

E. ratio