All the students begin their courses with an introductory course. The researcher wonders if the
proportion of students who passed the introductory course is equal to the proportion who graduated.
The table below shows the proportions.
Not graduated
Graduate
Not passed introductory
97
81
Passed introductory
64
158
Total
161
239
What is the p-value associated with the test statistic for two-sided test?
Answer:
Course duration was predicted through a multiple regression test using procrastination,
IQ, gender, achievement motivation and failure anxiety. See sum of squares output below.
Sum of Squares
df
Mean Square
Regression
8275.689
5
1655.138
Residual
50173.825
140
358.384
Total
58449.514
145
What is the multiple correlation value?
Answer:
A one-way variation analysis tested if mean scores on the Deadline Avoidance Scale were
similar for the three course completion status groups (graduated, dropped out before the
end of the first year, or dropped out after the first year). See the table below.
Sum of Squares
Between Groups
2.727
Within Groups
114.637
Total
117.364
What is the value of the F test statistic?
Answer:
The correlation between the procrastination questionnaire score and course duration is
0.375. What is the proportion of variance is explained by the variable ‘procrastination’ in a
bivariate regression with course duration as the dependent variable?
Answer:
The researcher wonders if study success is associated with faculty (here, just Law and
Social Sciences). These are all nominal variables. On the basis of the table below the
researcher tests is whether the variables are associated.
Graduated
Dropped out before first year
Drop
Law
51
15
37
Social Sciences
206
39
80
What is the value of the test statistic?
Answer:
To test whether or not passing the first year depends on the student’s procrastination
score, a logistic regression analysis was conducted. The test also controlled for gender
(female = 0, male = 1). See the results in the table below.
B
S.E.
df
Sig.
Procrastination
0.397
0.192
1
0.03
Gender
0.672
0.301
1
0.02
Intercept
-2.472
0.583
1
0.00
Mean procrastination was 2.7479, with a standard deviation of 0.77183. Based on the
logistic regression model, what is the probability that a male student who has a
procrastination score one standard deviation above the mean passes the first year?
Answer:
The researcher wants to test whether mean procrastinating score (in a subset of students),
is higher for those that graduated compared to those that did not graduate. Using a table,
what is the upper limit of the probability threshold for the relevant test statistic (p
