A psychologist hypothesizes that depression decreases withaging. It is known that the general population scores a 41 on astandardized depression test where a higher score indicates moredepression. The psychologist obtains a sample of individuals thatare all over 65 years old. What can the psychologist conclude withan α of 0.05? The data are below.
id | depression
score |
|---|
2
6
8
12
3
4
11
19
5
6 | 76.1
44.9
64.8
42.2
30.1
67.6
51.3
36.5
54.3
47.2 |
a) What is the appropriate test statistic?
---Select--- na z-test One-Sample t-test Independent-Samples t-testRelated-Samples t-test
b)
Population:
---Select--- elderly standardized depression test generalpopulation depression aging
Sample:
---Select--- elderly standardized depression test generalpopulation depression aging
c) Compute the appropriate test statistic(s) tomake a decision about H0.
(Hint: Make sure to write down the null and alternative hypothesesto help solve the problem.)
p-value =Â Â ; Decision:Â Â ---Select---Reject H0 Fail to reject H0
d) Using the SPSS results,compute the corresponding effect size(s) and indicatemagnitude(s).
If not appropriate, input and/or select \"na\" below.
d =Â Â ; Â Â ---Select--- na trivialeffect small effect medium effect large effect
r2 =Â Â ; Â Â ---Select--- natrivial effect small effect medium effect large effect
e) Make an interpretation based on theresults.
The elderly are significantly more depressed than thepopulation.
The elderly are significantly less depressed than thepopulation.   Â
The elderly did not significantly differ on depression than thepopulation.
