Question

Use SPSS for this Application Exercise:
A gerontologist working a in nursing home believes that no personal control is associated with feelings of well-being. In a field experiment, residents on one floor of the nursing home were given opportunities for personal control in their lives; e.g., arrange their own furniture, decide how to spend free time, choose and take care of a plant, etc. In another floor, residents were treated as usual. After 40 days the residents are asked to fill out a feelings of well-being survey where higher scores indicate more well-being. What can be concluded with an α of 0.05? The data are below.

personal control	no personal control
12 12 12 15 17 14 13 11 13 13	13 12 11 10 11 10 11 11 13 11

a) What is the appropriate test statistic?
---Select--- na z-test One-Sample t-test Independent-Samples t-test Related-Samples t-test

b)
Condition 1:
---Select--- well-being personal control nursing home no personal control field experiment
Condition 2:
---Select--- well-being personal control nursing home no personal control field experiment

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 H0 Fail 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--- na trivial effect small effect medium effect large effect
r² =  ;   ---Select--- na trivial effect small effect medium effect large effect

e) Make an interpretation based on the results.

Residents with personal control showed significantly more feelings of well-being than those with no personal control.

Residents with no personal control showed significantly more feelings of well-being than those with personal control.     

There is no significant well-being difference between residents with personal control and no personal control.

Answer 1

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

b)
Condition 1:
personal control
Condition 2:
no personal control

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 = 0.0044; Decision: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 = 1.313; large effect
r² = 0.324; large effect

e) Make an interpretation based on the results.

Residents with no personal control showed significantly more feelings of well-being than those with personal control.