# Your statistics professor is involved in an educational outreach program designed to increase wom…

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
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

1. Are you running a one-tailed or two-tailed test?
1. Write your alternative and null hypotheses.
1. 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)?
1. 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
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.