What are the probabilities associated with all of the possible outcomes of using the state's teacher certification test to make selection decisions. (Hint draw a decision tree) (5 points) ??

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Unit 4 Exercise Evaluating Decisions A school district has developed a teaching proficiency scale based on: (a) improvements in student achievement. (b) rating by peers and (c) ratings by administrators. The district data indicates that teachers who, at the end of their 3rd year, attain ratings of 3 or higher on the teaching proficiency scale are likely to have fewer discipline problems with students, to interact well with students' parent and are less likely to suffer from teacher-burn-out. The state department of education requires all applicants for a teaching certification to take a nationally normed teacher certification examination. Figure 1 is a scatter plot (shown below) that shows the relationship between the teacher certification test and the 3rd year teaching proficiency scale for the last 30 teachers hired by the district. Table 1 shows the data from this group of teachers. The correlation between the teacher certification examination and the teacher proficiency scale is 0.523. Figure 1 5.5 4.5 0 00 3. Teacher Proficiency O in N is O O O 20 30 40 50 60 70 80 90 100 Certification Examination\f