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Stats Homework Assignment #7 complete solutions correct answers key

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Stats Homework Assignment #7 complete solutions correct answers key

 

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

Region

Health Insurance

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

 

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

 

 

 

    No

 

 

 

Column Marginal

 

 

 

2.     Construct a bivariate table containing the appropriate percentages for each cell in the table (5 pts)?

 

 

Region

Health Insurance?

South

North

    Yes

 

 

    No

 

 

 

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.

 

Religious Affiliation

Position on Abortion

Protestant

Catholic

    Support

156

86

    Oppose

296

139

 

3.      Identify the independent variable (5 pts).

 

 

 

4.      Calculate the marginal for the table below (10 pts)?

 

 

Religious Affiliation

Row Marginal

Position on Abortion

Protestant

Catholic

 

    Support

156

86

 

    Oppose

296

139

 

Column Marginal

 

 

 

 

 

5.      Calculate the appropriate percentages for each cell using the conventions introduced in Chapter 10 (10 pts).

 

 

Religious Affiliation

 

Position on Abortion

Protestant

Catholic

Row Marginal

    Support

 

 

 

    Oppose

 

 

 

Column Marginal

 

 

 

 

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

Male

Female

Row Marginal

    Satisfied

309

255

564

    Unsatisfied

107

278

385

Column Marginal

416

533

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

Male

Female

Row Marginal

    Satisfied

 

 

564

    Unsatisfied

 

 

385

Column Marginal

416

533

949

 

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

 

8.      Calculate the chi-square values (10 pts)

 

Cell (X,Y)

Fo

Fe

(Fo-Fe)

(Fo-Fe)2

[(Fo-Fe) 2 / Fe]

Male/Satisfied

309

 

 

 

 

Male/unsatisfied

107

 

 

 

 

Female/satisfied

255

 

 

 

 

Female/unsatisfieed

278

 

 

 

 

 

 

 

 

 

 

 

 

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)?

 

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.

 

 

Race of Respondent

Spending on Welfare

White

Black

Hispanic

Total

  Too little

128

41

21

190

  About right

197

32

21

250

  Too much

185

31

19

235

Total

510

104

61

675

 

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

 

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

 

RACE/Welfare Spending

/

White/Too little

128

 

 

 

 

White/About right

197

 

 

 

 

White/Too much

185

 

 

 

 

Black/Too little

41

 

 

 

 

Black/About right

32

 

 

 

 

Black/Too much

31

 

 

 

 

Hispanic/Too little

21

 

 

 

 

Hispanic/About right

21

 

 

 

 

Hispanic/Too much

19

 

 

 

 

 

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).

 

 

Social Class

Spending on Welfare

Lower Class

Working Class

Middle Class

Upper Class

Total

  Too little

23

92

76

8

199

  About right

12

113

133

10

268

  Too much

12

127

99

7

245

Total

47

332

308

25

712

 

12.  What is the number of degrees of freedom for this table (5 pts)?

 

 

13.  Calculate the chi-square (10 pts).

 

Social Class/Welfare Spending

/

Lower/Too little

23

 

 

 

 

Lower/About right

12

 

 

 

 

Lower/Too much

12

 

 

 

 

Working/Too little

92

 

 

 

 

Working/About right

113

 

 

 

 

Working/Too much

127

 

 

 

 

Middle/Too little

76

 

 

 

 

Middle/About right

133

 

 

 

 

Middle/Too much

99

 

 

 

 

Upper/Too little

8

 

 

 

 

Upper/About right

10

 

 

 

 

Upper/Too much

7

 

 

 

 

 

 

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

 

 

 

15.  Explain the reason for your answer (2 pts).

 

 

 

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[Solved] Stats Homework Assignment #7 complete solutions correct answers key

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Stats Homework Assignment #7 complete solutions correct answers key 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 Region Health Insurance 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 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 No Column Marginal 2. Construct a bivariate table containing the appropriate percentages for each cell in the table (5 pts)? Region Health Insurance? South North Yes No 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. Religious Affiliation Position on Abortion Protestant Catholic Support 156 86 Oppose 296 139 3. Identify the independent variable (5 pts). 4. Calculate the marginal for the table below (10 pts)? R...
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