Extra Credit Assignment
*Show your work. Make sure to include output tables. Do not include irrelevant tables.
1. Zscore
Assume a normal distribution with a mean of 40 and a
standard deviation of 6 and answer the following questions.
a. Find the proportion of the area beyond
50 (i.e. above 50).
 Draw a normal curve and place the mean
and the score 50.

Shade the area beyond 50.

Translate the score 50 to a z score using the z formula.
 Find the proportion of the shaded
area.
b. Find the proportion of the area between
50 and the mean.
c. Find the proportion of the area below
the score of 50.
d.
Find the proportion of the area
below the score of 40.
e.
Find the proportion of the area
between the scores of 50 and 30.
2. Analyze the relationship between the two variables below:
Political
ID Republican
= 1 Democrat
= 2 
Income Low
= 1 High
= 2 
1 
2 
1 
2 
2 
1 
2 
1 
1 
2 
2 
2 
2 
2 
2 
1 
2 
1 
1 
2 
1 
1 
2 
2 
1 
1 
1 
1 
b) Carry out
c) Reproduce the results above using SPSS. Circle the significance and discuss the confidence level. Also, circle the statistic for the measure of association and discuss the strength.
d) Is the directional hypothesis supported?
3. Using the output tables below, analyze the impact of Union Density on % Women in Lower House. Make sure to discuss the significance level, slope coefficient, adjusted R^{2} and whether or not a directional hypothesis is supported.
Model Summary 

Model 
R 
R Square 
Adjusted R Square 
Std. Error of the Estimate 
1 
.524^{a} 
.274 
.252 
9.03807 
a.
Predictors: (Constant), Proportional representation?, Union density 
Coefficients^{a} 

Model 
Unstandardized Coefficients 
Standardized Coefficients 
t 
Sig. 

B 
Std. Error 
Beta 

1 
(Constant) 
9.083 
2.175 

4.177 
.000 
Union density (%) 
.213 
.063 
.371 
3.407 
.001 

Proportional representation 
6.164 
2.292 
.292 
2.689 
.009 

a.
Dependent Variable: Percent women in lower house of parliament, 2005 

4. First, analyze the relationship between support for gun controls and education level. Second,
add the gender variable as a control variable and find out if the original relationship
remains the same.
(Use SPSS. Make sure to include the directional hypothesis, null
hypothesis, significance, strength, direction, and substantive interpretation
in your discussion.)
ID 
Support
for Gun controls 
Education
Level 
Gender 
1 
1.00 
1.00 
2.00 
2 
1.00 
1.00 
2.00 
3 
1.00 
1.00 
1.00 
4 
1.00 
1.00 
2.00 
5 
1.00 
1.00 
1.00 
6 
2.00 
2.00 
1.00 
7 
1.00 
1.00 
1.00 
8 
1.00 
2.00 
1.00 
9 
2.00 
2.00 
1.00 
10 
2.00 
2.00 
1.00 
Support for Gun Controls: 1 support; 2 doesnt support , Education Level: 1 college graduate; 2 high school graduate, Gender: 1 male; 2 female
5. Analyze the impact of education and negative ads on turnout using the data below:
City  Turnout  Years of schooling  %Negative ads 
A  55  11.9  60 
B  60  12.1  63 
C  65  12.7  55 
D  68  12.8  53 
E  70  13.0  48 
b) M
c) Manually calculate the intercept and the slope coefficients for each relationship separately.
d) Reproduce the results above for each relationship separately using SPSS and
interpret the results. Make sure to include the following in your discussion:
significance, confidence level, substantive interpretation of the slope
coefficient, adj R sqd.
e) Using SPSS, carry out multiple regression by including both independent variables in the model and interpret the results.