In: Statistics and Probability
This is a comprehensive exercise that addresses many personnel selection concepts. Hospital Cheban is trying to improve their selection process for hiring nurses. A successful nurse, according to the company, is one that can see a minimum of 50 patients per day. The company believes that the key to successfully doing this is perseverance. To test this hypothesis the company administers The Perseverance Assessment (TPA) to 75 applicants holding a proper nursing license. The company hires all of the applicants that scored higher than 3 on the TPA and gives all of them one year to see how they perform on the job. Given below are applicant scores on the TPA as well as how many patients they saw (on average) in a day. Answer the questions that follow. TPA score Average # of patients seen in a Day 10 78 67 65 59 55 9 79 61 61 61 58 56 56 50 48 47 8 69 65 64 63 59 56 50 50 50 49 45 44 42 41 31 7 72 66 56 55 54 53 52 51 51 51 50 43 42 33 21 6 62 61 60 59 52 49 48 45 44 43 42 40 40 29 20 5 55 52 51 50 50 43 41 33 29 18 4 57 49 40 27 22 Questions: If 150 applicants scored 3 or lower on the TPA and thus were not hired, what was the selection ratio for this job? If 50 patients seen per day is the criterion for success, what is the base rate for nurses with Hospital Cheban? If the company decides to use 8 as the passing score on the test, how many: True positives? False positives? True negatives? False negatives?
4. What percentage of the 75 employees were correct selection decisions, and what percentage were incorrect decisions. What do these results suggest about the value of the TPA test to select nurses?