Question

Administrators want to know if test anxiety is impacted by the number of college years completed. After completing their freshman year, a random sample of students was selected and given the College Test Anxiety Questionnaire (CTAQ); higher scores indicate more test anxiety. After completing their junior year they were again tested. What can the administrators conclude with α = 0.05?

freshman	junior
5.9 7.2 7.4 6.8 8.5 6.2 7.3 5.2	2.1 7.5 3.2 5.6 5.5 6.4 4.6 5.2

a) What is the appropriate test statistic?
---Select---naz-testOne-Sample t-testIndependent-Samples t-testRelated-Samples t-test

b)
Condition 1:
---Select---CTAQnumber of college yearsfreshmanjuniortest anxiety
Condition 2:
---Select---CTAQnumber of college yearsfreshmanjuniortest anxiety

c) Input the appropriate value(s) to make a decision about H₀.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
p-value = _______; Decision: ---Select---Reject H0Fail to reject H0

d) Using the SPSS results, compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or select "na" below.
d = ______; ---Select---natrivial effectsmall effectmedium effectlarge effect
r² =________ ; ---Select---natrivial effectsmall effectmedium effectlarge effect

e) Make an interpretation based on the results.

Students showed significantly less anxiety in their junior year as opposed to their freshman year.

Students showed significantly more anxiety in their junior year as opposed to their freshman year.

    Students showed no significant anxiety difference between their junior and freshman year.

Answer 1

Result:

Administrators want to know if test anxiety is impacted by the number of college years completed. After completing their freshman year, a random sample of students was selected and given the College Test Anxiety Questionnaire (CTAQ); higher scores indicate more test anxiety. After completing their junior year they were again tested. What can the administrators conclude with α = 0.05?

freshman	junior
5.9 7.2 7.4 6.8 8.5 6.2 7.3 5.2	2.1 7.5 3.2 5.6 5.5 6.4 4.6 5.2

a) What is the appropriate test statistic?
---Select---Related-Samples t-test

b)
Condition 1:
---Select---freshman
Condition 2:
---Select---junior

c) Input the appropriate value(s) to make a decision about H0.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
p-value = 0.029; Decision: ---Select---Reject H0

Paired Samples Statistics
	Mean	N	Std. Deviation	Std. Error Mean
Pair 1	freshman	6.8125	8	1.02739	0.36324
junior	5.0125	8	1.71834	0.60752

Paired Samples Correlations
	N	Correlation	Sig.
Pair 1	freshman & junior	8	0.163	0.699

Paired Samples Test
	Paired Differences	t	df	Sig. (2-tailed)
Mean	Std. Deviation	Std. Error Mean	95% Confidence Interval of the Difference
Lower	Upper
Pair 1	freshman - junior	1.80000	1.85241	0.65493	0.25135	3.34865	2.748	7	0.029

d) Using the SPSS results, compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or select "na" below.
d = 0.97; ---Select---large effect
r2 =na ; ---Select---na

d =1.8/1.85241 =0.97171

e) Make an interpretation based on the results.

Students showed significantly less anxiety in their junior year as opposed to their freshman year.