A group of biochemistry researchers developed a new medicationfor treating depression. To assess if the new medication iseffective at treating depression, the researchers obtained a sampleof depressive patients from a local clinic. The patients were thenrandomly assigned into taking the medication for a month or not. Inaddition, the patients were also randomly assigned into receivingpsychotherapy for a month or not. At the end of the study, thepatients were asked to fill out a depression inventory in which ahigher score indicates more depression. The data are below. Whatcan be concluded with α = 0.01?

                Psychotherapy

Medication	no	yes
no	10 11 9 13	12 10 13 8
yes	11 13 8 9	4 3 4 14

a) What is the appropriate test statistic?
---Select--- na one-way ANOVA within-subjects ANOVA two-wayANOVA

b) Compute the appropriate test statistic(s) tomake a decision about H₀.
Medication: p-value =  ;Decision:  ---Select--- Reject H0 Fail to reject H0
Psychotherapy: p-value =  ;Decision:  ---Select--- Reject H0 Fail to reject H0
Interaction: p-value =  ;Decision:  ---Select--- Reject H0 Fail to reject H0


c) Compute the corresponding effect size(s) andindicate magnitude(s).
Medication: η²=  ;  ---Select--- na trivial effect smalleffect medium effect large effect
Psychotherapy: η²=  ;  ---Select--- na trivial effect smalleffect medium effect large effect
Interaction: η²=  ;  ---Select--- na trivial effect smalleffect medium effect large effect


d) Make an interpretation based on theresults.

There is a medication difference in depression.There is nomedication difference in depression.    

There is a psychotherapy difference in depression.There is nopsychotherapy difference in depression.    

There is a medication by psychotherapy interaction indepression.There is no medication by psychotherapy interaction indepression.