# SOCIOL 350 UMASS Bivariate Ta

• Use the following GSS data on race, fear, and home ownership to do the following:
1. Construct a bivariate table of frequencies for race and fear of walking alone at night.
2. Calculate percentages for this table.
3. 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:
1. Identify variables.
2. What percentage of those polled think that homosexual relations are always wrong?
3. Calculate the chi-square statistic for this table.
4. 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

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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

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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

1. 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

1. 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

1. 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.

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