1. A psychiatrist devised a short screening test for depression. An independent blind comparison was made with a gold standard for diagnosis of depression among 200 psychiatric outpatients. Among the 50 outpatients found to be depressed according to the gold standard, 35 patients were positive for the test. Among 150 patients found not to be depressed according to the gold standard, 30 patients were found to be positive for the test. The prevalence of depression among his patients is estimated to be 5%. Answer the following questions based on the information provided in the above question:

a. The positive likelihood of the screening test and interpret the result you found

The post-test odds of the screening test and interpret the result you found