Question

A hospital human resource manager hypothesizes that nurses that experience more burnout are absent from work more. 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 0.01?

absence	burnout
5 7 6 7 6 8 8 10 9	7 8 7 4 4 3 2 2 1

a) What is the appropriate statistic?
---Select--- 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--- 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--- na trivial effect small effect medium effect large effect

d) Make an interpretation based on the results.

There is a significant positive relationship between being absent from work and burnout.There is a significant negative relationship between being absent from work and burnout.    There is no significant relationship between being absent from work and burnout.

Answer 1

a) The appropriate statistic is correlation.

b] NULL HYPOTHESIS H0:

ALTERNATIVE HYPOTHESIS Ha:

correlation r= -0.768

test statistic t= r*sqrt(n-2)/sqrt(1-r^2)

t= -0.768*sqrt(9-2)/sqrt(1-0.59)

t= -3.17

P VALUE= 0.9921

P VALUE> 0.05 NOT SIGNIFICANT

DECISION: DO NOT REJECT H0.

C] effect size= (-3.17)^2/(-3.17)^2+7=  10.05/17.05= 0.589

EFFECT SIZE : LARGE

D]  There is no significant relationship between being absent from work and burnout.