Exam 3: Part B- SOCI 3443 Social Statistics CH10 to CH13

Exam
3: Part B- SOCI 3443 Social Statistics

CH10
to CH13

Please
well prepared this exam using class material to answer these questions and you
also have to take Part A: 30 multiple choice questions in Blackboard.

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This
exam will be due by11:59 CST Sunday, May 1st.

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_______________________________________________

Problem set 1: use the following information to
answer questions 1-3 (5 points total):

The following data were obtained from the
General Social Survey.

	Religious Affiliation
Position on Abortion	Protestant	Catholic
Support	182	97
Oppose	252	113

1.
Identify the independent variable. Why (1 pts)?

2.
Calculate the marginal for the table below (2
pts)?

	Religious Affiliation	Row Total
Position on Abortion	Protestant	Catholic
Support	182	97
Oppose	252	113
Column Total

3.
Calculate the appropriate percentages for each
cell using the conventions introduced in Chapter 10 (2 pts).

	Religious Affiliation
Position on Abortion	Protestant	Catholic	Row Total
Support
Oppose
Column Total

Problem set 2: use the following information to
answer questions 4-7 (5 points total):

We continue our analysis from previous problem set, this time
examining 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	22	95	80	9	206
About right	14	111	131	9	265
Too much	11	126	97	12	246
Total	47	332	308	30	717

4.
What is the number of degrees of freedom for
this table (1 pts)?

5.
Calculate the chi-square (2 pts).

Social Class/Welfare Spending					/
Lower/Too little	22
Lower/About right	14
Lower/Too much	11
Working/Too little	95
Working/About right	111
Working/Too much	126
Middle/Too little	80
Middle/About right	131
Middle/Too much	97
Upper/Too little	9
Upper/About right	9
Upper/Too much	12

6.
Based on an alpha of .05, do you reject the
null hypothesis (1 pts)?

7.
Explain the reason for your answer (1 pts).

Problem set 3: use the following information to
answer questions 8-10 (10 points total):

We take another look at health based on the
practice question on Page 408, this time examining the relationship between
educational attainment and perceived quality of health care. Data for three
groups are presented based on the HINTS2012 data set. Present the five-step
model for these data, using alpha = .01. QUALITYCARE is measured on a
five-point scale: 1—excellenet, 2—very good, 3—good, 4—fair, and 5—poor. Note
how a lower score indicates a higher quality of care.

Less Than High School	Some College	College Graduate
2	2	1
3	2	1
1	2	1
1	3	2
1	4	2
4	2	2

8.
Find the answers for the worksheet (4 pts).

Less Than High School	Some College	College Graduate
2	2	1
3	3	1
1	2	1
1	2	2
1	4	1
4	2	2
Sum Y1=	Sum Y2=	Sum Y3=
Mean Y1=	Mean Y2=	Mean Y3=
Sum up square of Y1=	Sum up square of Y2=	Sum up square of Y3=
K1=	K2=	K3=
Total mean =
N =

9. Calculate
Mean Square within and Mean Square between (2 pts).

10. What’s
the F statistic in this data (2 pts)? Make decision if alpha was set up at .05,
and please use Appendix E (Page 487) to discuss your decision making (2 pts).

Problem
set 4: use the following information to answer questions 11-15 (15 points
total):

Let’s examine the relationship between GNP per
capita and the percentage of respondents willing to pay more in taxes.

11. In this
chapter, we used Table 13.4 to illustrate how to calculate the slope and
intercept in the regression table. Using table 13.4 as a model, create a
similar table using the data below for GNP per capita and the percentage
willing to pay higher taxes (6 pts).

GNP per Capita (X)	% Willing to Pay Higher Taxes (Y)	(X–)	(X–)2	(Y–)	(Y–) 2	(X–) (Y–)
18.66	22
3.22	27.6
26.58	15
14.56	33.8
37.55	35.43
1.88	18.7
4.62	33.52
28.8	55.8
15.7	33.5
31.12	24.6
11.8	18.9
3.77	25.3
16.5	24.8
29.82	17.14
36.83	31.55
?X=281.41	?Y=417.64	?X=	?=	?=	?=	?=
MeanX = ; Please make sure you get the correct N
MeanY =
Variance (Y) = Standard deviation (Y) =
Variance (X) = Standard deviation (X) =
Covariance (X,Y) =
*Answers may differ due to rounding (2 decimal points); however the exact value of these column totals, properly calculated will always be equal to zero. Sources: The World Bank Group, Development Education Program Learning Model: Economics, GNP per Capita, 2004. International Social Survey Programme, 2000.

12. From the
table that you created in #11, calculatea,
b, and write out the regression
equation (i.e., prediction equation) (3 pts).

13. Calculate
and interpret error type, E₂ (3 pts).

% Willing to Pay Higher Taxes (Y)	Predicted % Willing to Pay Higher Taxes (?)	(Y- ?)	(Y- ?)2
22	29.58
27.6	27.99
15	28.90
33.8	30.34
35.43	29.02
18.7	25.56
33.52	27.36
55.8	28.14
33.5	30.04
24.6	27.29
18.9	25.53
25.3	26.77
24.8	25.91
17.14	31.20
31.55	28.83
			?=

14. Using
your answer from #13, calculate the PRE measure, r². Interpret (2
pts).

15. About
what percentage of citizens are willing to pay higher taxes for a country with
a GNP per capita of 3.0 (i.e., $3,000)? For a GNP per capita of 30.0 (i.e.,
$30,000) (1 pt)?

Problem set 5: use the following information to
answer questions 17-20 (5 points total):

16. Calculate
the Y-intercept, a, of the regression equation using the following information:
(1 pt)

Mean number
of years of schooling: 15

Mean
monthly income: $3,360

Slope, b, of the regression
equation: $970

17. Consider
the following linear regression prediction equation: Y = 12 + -1x. If x = 5,
what is the predicted value of, Y, for this observation (1 pt)?

18. Consider
the following linear regression prediction equation: Y = 12 + -1x. If the
predicted value of, Y, for an observation is 3, calculate the residual for an
observation where the observed value, Y, is equal to 8 (1 pt)?

19. What are
the four assumptions of ANOVA (2 pts)?

20. What is
the five steps in hypothesis testing using ANOVA (extra 5 pts)?