Question

Clinical trials identify patients through a series of sequential mechanisms. The first step is to select patients from the general population who are interested and might be participants in the study, producing a "screened population". The second step is to make sure each patient in the screened population is eligible for the study by meeting all of the study's inclusion and exclusion criteria; this generates an “eligible population". The third step is to obtain an informed consent from the patient and randomize them to a study medication, creating a “randomized population”. All randomized patients are eligible and screened. All eligible patients are screened. Examine the data below (Table 1) and answer the following questions. Table 1 Demographies of Screened, Eligible, and Randomized Patients Screened 300 Eligible 140 Randomized 100 Total Race 30 25 110 75 NonWhite 50 White 250 Ethnicity Hispanic 100 Non Hispanic 200 40 3 100 97 Find the probabilities of the subsequent events: a) A screened patient is eligible. b) An eligible patient is randomized. c) 30 nonwhites and 110 nonwhites would be selected from screened population for the eligible population of 140. d) A Hispanic patient is a member of the randomized population.

Answer 1

140 300 10:4667 Ans:- @ P(screened patient is eligible) = Total eligible Total screened (b) P(eligible patient is randomized) - Total randomized Total eligible © P(30 non white $ 110 whites) - 10.01478 100 140 0.7143 11 50 (30 x 250 (110 300 (140 do P(hispanic a member of randomised) = Total hispanic Total randomised 3 03 100