Question

A social psychologist hypothesizes that depression is related to Facebook use. The psychologist collects hours on Facebook and depression score data from a sample of clinically depressed patients. What can be concluded with α = 0.10?

Facebook	depression
3 3 2 5 4 3 4 2 3	4 0 7 9 6 1 11 2 5

a) What is the appropriate statistic?
---Select--- na, Correlation, Slope, Chi-Square
Compute the statistic selected in a):  

b) Obtain/compute the appropriate values to make a decision about H₀.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0, Fail to reject H0

c) 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.

a. There is a significant positive relationship between using Facebook and depression.

b. There is a significant negative relationship between using Facebook and depression.

c. There is no significant relationship between using Facebook and depression.

Answer 1

a] NULL HYPOTHESIS H0:

ALTERNATIVE HYPOTHESIS Ha:

b]

test statistic= 1.79

degrees of freedom= 9-2=7

critical t value= 1.89

Critical value > t cal therefore NOT SIGNIFICANT

DECISION: DO NOT REJECT H0.

Effect size = r^2= (0.56)^2= 0.3136

SMALL

c. There is no significant relationship between using Facebook and depression.