Y​‌‍‍‍‌‍‍‌‍‌‌‍‍‍‌‍‌‌‌‍​ou have just started working in a new clinic. The practice would like to see if there is a need to test every patient for coronavirus to find out whether they have symptoms or not. In order to make this determination, they decided to test every patient in order to see if there is a need, given this is not a recommendation from the health department. Therefore, they implemented testing for the coronavirus on every patient. The process has been in place for a week now and you would like to know what the probability is of an individual testing positive for the coronavirus. You pull the data from your EHR. Your practice has seen 20 patients. Of those patients, 15 did not have symptoms of the coronavirus, whereas 5 did have symptoms. Of the 15 patients that did not have symptoms, 2 actually tested posit​‌‍‍‍‌‍‍‌‍‌‌‍‍‍‌‍‌‌‌‍​ive. Of the patients that had symptoms, 4 tested positive and 1 tested negative. With this information you create the tree diagram below. Your Nurse Practitioner is starting to regret not having that clinical decision support system. (Note: this is a made-up scenario and data). Your next steps are: 1. Using the formula P(A and B) = P(A) x P(B|A), ex. where A = that don’t have symptoms and B = they test positive for coronavirus. What is the probability of B given A, which can be calculate by A times B. a. Compute the probability for each scenario below using the above formula for each scenario. Be sure to show your work. You can complete in a Word document or PowerPoint slides. b. In your opinion, do you feel the practice should continue testing each patient? Provide the rationale for your answ​‌‍‍‍‌‍‍‌‍‌‌‍‍‍‌‍‌‌‌‍​er.

Sample Solution