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

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

  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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