Your Statistics Professor Is Involved In An
Question
Your statistics professor is involved in an educational outreach program designed to increase wom…
- Your statistics professor is involved in an educational
outreach program designed to increase women’s participation in
science, technology, engineering, and mathematics (STEM). The
two-week educational program involved fieldtrips and activities
designed to increase participants’ knowledge toward STEM.
On the first day of the education
program, a pre-test is administered to all students. On the final
day of the educational program, an identical post-test is
administered. After the educational program ends, your professor
asks you to help her analyze the results. Your professor predicts
that pre- and post-test scores will differ significantly and wants
to use an alpha level of 0.01.
Pre-Test |
Post-Test |
34 |
40 |
67 |
70 |
23 |
34 |
76 |
75 |
12 |
23 |
8 |
10 |
45 |
56 |
68 |
76 |
78 |
93 |
13 |
17 |
- Are you running a one-tailed or two-tailed test?
- Write your alternative and null hypotheses.
- Which statistical analysis will you use to run your test (e.g.
one-sampled t-test, an independent-samples t-test, a paired t-test,
or chi-square test)?
- Run your statistical analysis using SPSS. Write your
conclusion.
(Remember, if you are running a
one-tailed test, your alpha value is located in one-tail, meaning
your p-value needs to be less than 0.01 to reject the null
hypothesis.
If you are running a two-tailed
test, your alpha value is divided in half, meaning your p-value
needs to be less than 0.005 to reject the null hypothesis)
Solutions
Expert Solution
a) It it two tailed test
b) H0: The professor predicts that pre- and post-test scores
will not differ significantly
H1: The professor predicts that pre- and post-test scores will
differ significantly
Let the los be alpha = 5%
c) Paired t test is used for this data
d) From the given data, the paired t test is run and the output
be
Test Statistic t = -4.398
P-value = 0.002 < alpha 0.05 so we accept H0
Thus we conclude that the professor predicts that pre- and
post-test scores will not differ significantly.