Press to exit full screen 1. (10 points) A randomized trial of a new drug designed to reduce cholesterol is conducted. N : 177 patients are enrolled in the trial, with 76 assigned to a control group taking an existing drug (trt=0); 52 assigned to take the new drug once per day (trt=1); and 49 assigned to take the new drug twice per day (trt=2). The drug manufacturer is hoping that the new drug will be better than the existing drug, and that taking it twice per day will be better than taking it once per day To compare drugs, LDL cholesterol after 1 month is measured, and success is dened as a reduction of at least 15 mg/dL in LDL. The dataset has 177 rows with a trt column that takes values 0. 1, and 2. and a response column that takes values 0 for success and 1 for failure. The counts of patients in each category is presented below. Treatment Group trt level N Successes Failures Control 0 76 19 57 New drug, once per day 1 52 18 34 New drug, twice per day 2 49 21 28 (a) (2 points) First. under the assumption that the probability of reducing cholesterol does not depend on which treatment group a patient belongs to, estimate the probability of successful cholesterol reduction in this patient population. Calculate a standard error for your estimate