- Use the following GSS data on race, fear, and home ownership to do the following:
- Construct a bivariate table of frequencies for race and fear of walking alone at night.
- Calculate percentages for this table.
- Construct a bivariate table (using percentages) to compare fear of walking alone at night between people who owntheir homes and those who rent.
- Advocates of gay rights often argue that homosexuality is not a “preference” or a choice but rather an “orientation” that cannot be changed. One of your classmates argues that attitudes about homosexuality often influence politicalviews. Those who think homosexual relations are wrong tend to be more conservative compared with those who donot think that homosexual relations are wrong. Use the following table based on GSS data to do the following:
- Identify variables.
- What percentage of those polled think that homosexual relations are always wrong?
- Calculate the chi-square statistic for this table.
- Based on an alpha of 0.01, do you reject the null hypothesis?
Respondent |
Race |
Fear of Walking Alone |
Rent/Own |
1 |
White |
No |
Rent |
2 |
Black |
No |
Rent |
3 |
White |
Yes |
Rent |
4 |
Black |
No |
Rent |
5 |
White |
No |
Rent |
6 |
Black |
Yes |
Own |
7 |
White |
Yes |
Rent |
8 |
White |
Yes |
Rent |
9 |
White |
No |
Own |
10 |
White |
No |
Own |
11 |
White |
Yes |
Rent |
12 |
White |
No |
Rent |
13 |
Black |
Yes |
Own |
14 |
White |
No |
Rent |
15 |
Black |
No |
Own |
16 |
Black |
No |
Rent |
17 |
White |
No |
Own |
18 |
White |
No |
Own |
19 |
Black |
No |
Rent |
20 |
White |
No |
Own |
21 |
Black |
Yes |
Rent |
undefined
c.Describe the existence and the strength of the relationship between race and fear of walking alone based on thistable.
e.Describe the existence and the strength of the relationship between fear of walking alone at night and people whoown their homes and those who rent based on this table.
Political Views |
Homosexual Relations |
Total |
|
Always Wrong |
Not Wrong at All |
||
Liberal |
82 |
155 |
237 |
Moderate |
140 |
120 |
260 |
Conservative |
229 |
66 |
295 |
Total |
451 |
341 |
792 |
undefined
Independent:
Dependent:
b.Percentage the table.
Political Views |
Homosexual Relations |
Total |
|
Always Wrong |
Not Wrong at All |
||
Liberal |
|||
Moderate |
|||
Conservative |
|||
Total |
d.Using the percentaged table, describe the existence and strength of the relationship between views about homosexualrelations and political orientation.
fo |
fe |
fo – fe |
(fo – fe)2 |
( f0 – fe ) 2 fe |
|
Always wrong/Liberal |
|||||
Always wrong/Moderate |
|||||
Always wrong/Conservative |
|||||
Not wrong at all/Liberal |
|||||
Not wrong at all/Moderate |
|||||
Not wrong at all/Conservative |
|||||
c2 = |
QUESTION 3
- Consider the following hypothetical data on each respondent’s region of U.S. residence and whether or not they voted in the last presidential election. Use these data to construct a bivariate table called “Voting Behavior by Region” with cells containing the appropriate frequencies (fill in ALL of the cells including Variable Name and Attributes).
Person |
Region |
Voted |
1 |
South |
Yes |
2 |
South |
Yes |
3 |
North |
No |
4 |
North |
No |
5 |
North |
Yes |
6 |
North |
Yes |
7 |
North |
Yes |
8 |
South |
No |
9 |
South |
No |
10 |
South |
No |
11 |
North |
Yes |
12 |
North |
Yes |
13 |
North |
No |
14 |
North |
No |
15 |
South |
No |
QUESTION 4
- Calculate the marginals for the table below.
Religious Affiliation |
|||
Position on Abortion |
Protestant |
Catholic |
Total (N) |
Support |
156 |
86 |
|
Oppose |
296 |
139 |
|
Total (N) |
QUESTION 5
- Calculate the appropriate percentages for each cell.
Religious Affiliation |
|||
Position on Abortion |
Protestant |
Catholic |
Total (N) |
Support |
156 |
86 |
|
Oppose |
296 |
139 |
|
Total (N) |
QUESTION 6
Calculate the appropriate percentages for each cell and describe the existence and strength of the relationship between education and divorce (in particular the likelihood of divorce for someone with a high school degree vs. a bachelor’s degree).
Highest Degree |
||||||
Ever Been Divorced |
Less than High School |
High School |
Junior College |
Bachelor’s Degree |
Graduate Degree |
Total (N) |
Yes |
107 |
362 |
55 |
89 |
52 |
|
No |
285 |
867 |
149 |
374 |
195 |
|
Total (N) |
QUESTION 7
1.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?
QUESTION 8
1.In the late summer of 2008, a brief war broke out between the two countries of Russia and Georgia. Suppose you are a researcher interested in nationalistic attitudes in these two countries. You decided to use data from the World Values Survey, which is available at the following URL: http://www.worldvaluessurvey.org/. The data of interest are presented below on Russian respondents.
Age |
|||
Proud of Nationality? |
15-29 |
30-49 |
50+ |
Very proud |
738 |
132 |
279 |
Quite proud |
940 |
227 |
388 |
Not very proud |
523 |
133 |
238 |
Not proud at all |
194 |
47 |
83 |
1.Identify the independent and dependent variable. What is the total sample size?
2.Calculate the values of the row and column marginals and the expected frequencies for each cell.
3.Calculate the chi-square statistic and the number of degrees of freedom.
4.What is the critical value for this chi-square test (use an alpha of 0.05)? Conclude whether your results are statistically significant. Provide evidence for your conclusion.