Question

Question 3: Construct a decision tree for the following scenario and given contingency table Suppose you are evaluating a program that uses a screening tool bullying. The school has an option to either implement a screening tool (alt) or do nothing (alt2). Below for an elementary school to address are the possible outcomes: Correctly identifying a bullied student means the concern can be addressed by obtaining the If the test identifies a student as bullied but the student is not bullied, then it is a false positive If the test does fails to identify a bullied student, then it is a false negative. A bullied student suffers .If a student is not bullied and the test correctly identifies the student as not bullied, then no action A pilot program was implemented to test the effectiveness of the screening tool and the following 2x2 necessary help (value +100) Therefore, the parents of the bully might file for complaints (value from psychological burden (value40) is needed (value -0) -20) contingency table summarizes some of the findings: Actual Child Bullied Child Not Bullied Test Screeningt Result Screening 17 2 63 331 From the summarized data above, estimates for chance node probabilities can be obtained. Perform the following: a) Draw a decision tree for the situation facing the school b) Use the contingency table above to obtain estimates of all the needed probabilities for the decision tree c) Use the average-out method to evaluate the value of each alternative d) Make a recommendation