STT 422 Sample Exam 2
Summer 2008
Part 1: Contingency Tables and ChiSquare Tests:
1.
Given the following contingency table:
High GPA
Middle GPA
Low GPA
Lower Classman
20
30
10
Upper Classman
15
40
15
a)
What is the test statistic for a test for association?
b)
What are the degrees of freedom and pvalue associated with this test?
c)
Is there an association between GPA and class at the 0.05 level?
2.
Suppose we want to test if, among people with more than $10,000 debt, the true
distribution of ages is 40% age 2040, 35% age 41 59, 25% age 65 and up.
We
take a sample and get:
Age
2040
4159
65 and up
Count
45
30
10
a)
What is the test statistic associated with this test?
b)
What are the degrees of freedom and pvalue associated with this test?
c)
Does the model fit at the 0.05 level?
Part 2: Logistic Regression:
1.
A model was fit to find risk factor for stunted growth in young children.
The
following model has the variables stunted (0 = normal, 1 = stunted) as the
outcome and
nutrition (0 = poor nutrition, 1= average nutrition, 2= good
nutrition) and weight (continuous) as predictors.
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 Summer '08
 PORTER
 Statistics, Normal Distribution, Pearson's chisquare test, Logit, Statistical terminology

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