In: Statistics and Probability
A hospital human resource manager wants to investigate the relationship between burnout and nurses being absent from work. The manager collects absence and "psychological burnout" from a random sample of nurses at the hospital. What can the manger conclude with an α of 0.10?
absence | burnout |
5 7 6 7 6 8 8 10 9 |
2 1 2 3 4 4 7 7 8 |
a) What is the appropriate statistic?
---Select one--- (na, Correlation, Slope, Chi-Square)
Compute the statistic selected in
a):
b) 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
one--- (Reject H0, Fail to reject H0)
c) Using the SPSS results,
compute the corresponding effect size(s) and indicate
magnitude(s).
If not appropriate, input and/or select "na" below.
effect size = ; ---Select one--- (na,
trivial effect, small effect, medium effect, large effect)
d) Make an interpretation based on the
results.
a. There is a significant positive relationship between being absent from work and burnout.
b. There is a significant negative relationship between being absent from work and burnout.
c. There is no significant relationship between being absent from work and burnout.
A] CORRELATION STATISTIC
r= 0.789
B] NULL HYPOTHESIS H0:
ALTERNATIVE HYPOTHESIS Ha:
PVALUE=0.006
SINCE P VALUE SMALLER THAN THE LEVEL OF SIGNIFICANCE THEREFORE SIGNIFICANT .
DECISION : REJECT NULL HYPOTHESIS H0.
C] EFFECT SIZE FOR CORRELATION IS COEFFICIENT OF DETRMINATION.
r^2= (0.789)^2= 0.622
LARGE EFFECT
THE EFFECT SIZE FOR BURNOUT IS r^2= 0.622indicated that a large portion of varaibility in job satisfaction (62.2%)was accounted for by the level of burnout that the counseler experienced.
D] An interpretation based on the results.: There is a significant positive relationship between being absent from work and burnout.