Your Statistics Professor Is Involved In An

Question

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
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?
  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
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.


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