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In: Statistics and Probability

7) Correctional services were interested in evaluating a cognitive-behavioural based intervention designed to reduce violence and...

7) Correctional services were interested in evaluating a cognitive-behavioural based intervention designed to reduce violence and offending. A group of researchers randomly assigned 18 offenders into either a control group or a treatment group. Offenders in the treatment group received the intervention for one year prior to their release while those in the control group received no intervention prior to their release. The researchers then gathered data on the number of violent incidents perpetrated by offenders over the five years after their release from the institution. The researchers are interested in testing whether the treatment had any effect on the outcome. Control 4 7 4 6 8 5 9 7 4 Treatment 3 5 2 7 5 5 6 4 2

a) What is the appropriate model of the population(s)?

b) What are the appropriate hypotheses for this analysis?

c) What is/are the critical value(s) for this test using an alpha of 0.05?

d) What is the observed value of the appropriate test statistic?

e) What is your decision regarding the stated hypotheses?

f) What is the estimated effect size using Cohen’s d?

g) What is the 95% confidence interval around the population mean difference?

h) Did the intervention have an effect on the outcome?

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Expert Solution

orchestra answered 2 years ago
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