Question

A health psychologist working a in nursing home is interested in how personal control effects 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 a month the residents are asked to fill out a feelings of well-being survey where higher scores indicate more well-being. What can the psychologist conclude with α = 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 10 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--- personal control no personal control well-being field experiment nursing home
Condition 2:
---Select--- personal control no personal control well-being field experiment nursing home

c) Compute the appropriate test statistic(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)  Independent-Samples t-test

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

(c)

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