Homework Assignment #6 (due by 11:59pm CST on Sunday, April 10th)
Please study Ch10 &amp; Ch11 to finish this homework assignment. You can find out the answers in
textbook practice and weekly materials on BlackBoard. Also, please familiar with how to make a
decision and interpret the results (P. 359) using Appendix D (P.486).
Problem set 1: Use the following data to answer questions 1-2 (10 points):
Consider the following hypothetical data on each respondent?s region of U.S. residence and
whether or not they have health insurance of some kind.
Person
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15

Region
South
South
North
North
North
North
North
South
South
South
North
North
North
North
South

Health Insurance
Yes
Yes
No
No
Yes
Yes
Yes
No
No
No
Yes
Yes
No
No
No

1. Use these data to construct a bivariate table, with cells containing the appropriate
frequencies (5 pts)?
Region
Health Insurance?
South
North
Row Marginal
Yes
2
5
No

4

4

Column Marginal

1

Region
Health Insurance?
Yes
No
Column Marginal

South
28.57%
33.33%
13.33%
50.00%
66.67%
26.67%
6
40.00%

North
71.43%
55.56%
33.33%
50.00%
44.44%
26.67%
9
60.00%

Row Marginal
7
46.67%
8
53.33%
15

2. Construct a bivariate table containing the appropriate percentages for each cell in the

table (5 pts)?
Region
Health Insurance?
Yes
No

South
40.00%

North

100%

100%

Problem set 2: use the following information to answer questions 3-5 (25 points total):
The following data were obtained from the General Social Survey.
Position on Abortion
Support
Oppose

Religious Affiliation
Protestant
Catholic
156
86
296
139

2

3. Identify the independent variable (5 pts).

4. Calculate the marginal for the table below (10 pts)?
Position on Abortion
Support
Oppose
Column Marginal

Religious Affiliation
Protestant
Catholic
156
86
296
139
452
225

Row Marginal
242
435
677

5. Calculate the appropriate percentages for each cell using the conventions introduced in
Chapter 10 (10 pts).
Position on Abortion
Support
Oppose
Column Marginal

Religious Affiliation
Protestant
Catholic
100*156/452=35% 100*86/225=38%
100*296/452=65% 100*139/225=62%
100%
100%

3

Row Marginal
100*242/677=36%
100*435/677=64%
100%

Problem set 3: use the following information to answer questions 6-8 (25 points total):
Hypothetical data are provided below on relationship between sex and marital satisfaction.
Sex
Marital Satisfaction
Satisfied
Unsatisfied
Column Marginal

Male
309
107
416

Female
255
278
533

Row Marginal
564
385
949

6. Calculate the expected frequencies ? that is, the frequencies were would expect to
observe if there were no relationship between sex and marital satisfaction (8 pts).
Sex
Marital Satisfaction
Satisfied
Unsatisfied
Column Marginal

Male
564*416/949=247
385*416/949=169
416

Female
564*533/949=317
385*533/949=216
533

Row Marginal
564
385
949

7. Calculate the number of degrees of freedom associated with the chi-square test for these
data (2 pts).
948

8. Calculate the chi-square values (10 pts)
Cell (X,Y)
Male/Satisfied
Male/unsatisfied
Female/satisfied
Female/unsatisfieed

Fo
309
107
255
278

Fe
247
169
317
216

(Fo-Fe)
62
-69
-62
62

(Fo-Fe)2
62^2=3844
69^2=4761
-62^2=-3844
62^2=3844

[(Fo-Fe) 2 / Fe] 3844/247=16
4761/169=28
-3844/317=-12
3844/216=18
X^2=50

9. Suppose you obtain a chi-square statistic of 67.81. Are your results statistically
significant if the critical value obtained from the distribution of chi-square is 3.84 with an
alpha level of .05 (5 pts)?
Yes, since 67.81 &gt; 3.84 the results are significant

4

Problem set 4: use the following information to answer questions 10-11 (20 points total):
The issue of how much should be spend to solve particular U.S. social problems is a complex
matter, and people have diverse and conflicting ideas on these issues. Race and social class have
an impact on how people perceive the extent of government spending. The 2006GSS contains
sev3eral questions on these topics. For this exercise, we present race and the variable NATFARE,
which whether we were spending too much, too little, or the right amount of money to address
welfare.
Spending on Welfare
Too little
Too much
Total

Race of Respondent
Black
Hispanic
41
21
32
21
31
19
104
61

White
128
197
185
510

Total
190
250
235
675

10. How many degrees of freedom for the table (5 pts)?
674

11. Test whether race and NATFARE are independent (alpha level of .05). what do you
conclude (15 pts)?

RACE/Welfare Spending

fo

fe

fo fe

( fo fe )2

( fo fe )2

fe
White/Too little
White/Too much
Black/Too little
Black/Too much
Hispanic/Too little
Hispanic/Too much

128
197
185
41
32
31
21
21
19

2

5

/

Problem set 5: use the following information to answer questions 12-15 (20 points total):
We continue our analysis from previous problem set, this time examing the relationship between
social class (CLASS) and spending on welfare (NATFARE).
Spending on Welfare

Too little
Too much
Total

Lower Class
23
12
12
47

Working Class
92
113
127
332

Social Class
Middle Class
76
133
99
308

Upper Class
8
10
7
25

Total
199
268
245
712

12. What is the number of degrees of freedom for this table (5 pts)?
711
13. Calculate the chi-square (10 pts).
Social Class/Welfare Spending

fo

fe

fo fe

( fo fe )2

( fo fe )2

fe
Lower/Too little
Lower/Too much
Working/Too little
Working/Too much
Middle/Too little
Middle/Too much
Upper/Too little
Upper/Too much

23
12
12
92
113
127
76
133
99
8
10
7

2

14. Based on an alpha of .01, do you reject the null hypothesis (3 pts)?