Question

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.

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?

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)

Answer 1

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

T-Test [Dataset0] Paired Samples Statistics Std. Error Mean Mean Std. Deviation 28.05233 28.58982 Pair1 Pretest 42.4000 Posttest49.4000 8.87093 9.04089 Paired Samples Correlations Correlation Sig Pair 1 Pretest & Posttest 984 Paired Samples Test Paired Differences 95% Confidence Interval ofthe Difference Std. Error Mean Mean Std. Deviation 5.03322 Lower Upper df Sig. (2-tailed) 002 10.60055-3.39945 Pair 1 Pretest Posttest7.00000 1.59164 3.39945 4.398

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.