1. 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.

1. Are you running a one-tailed or two-tailed test?

2. Write your alternative and null hypotheses.

3. 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)?

4. 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)

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.