Question

A study was designed to compare Red Bull energy drink commercials. Each participant was shown the commercials, A and B in random order and asked to select the better one. There were 165 women and 140 men who participated in the study. Commerical A was selected by 51 women and 51 men. For all answers below, include at least 3 decimals of precision Find the odds of selecting Commercial A for the men and for the women. (a) Odds of women choosing Commerical A: (b) Odds of men choosing Commercial B: Find the log-odds of selecting Commerical A for men and for women (c) Log-odds of women choosing Commerical A: (d) Log-odds of men choosing Commerical A: Encoding x=0 for men and x=1 for women, do a logistic regression. Find the logistic regression equation: (e) Log-odds(Commercial A) =

Answer 1

Commercial Choosen Ais Gender Male female Commercial B is choosen 140-51=89 Total 140 SI 51 165-51=144 1165 305 (a) odds of women choosing to S1/05 = Se lassy = 0.20079 (b) odds of men choosing B = 89/305 - . 1-305 216 = 0041204 (C) log odds of women choosing A = log ( 5 /sy) = -1060551 d men - - log ( 89 ) = -0.88664 (e) X=0 for men x= for women log ( b ) = pot fix where p= Prob of women chosing commercial A for x=1, Bot f = caorg ( from 6) - 1-60551 for X=0 , so = from (d) = - 0.88664 = B = -fo = 1.60ss) = 0.88 664 - 1.6055) = - 0.71887 tog foods for log-odds (for comercial Al = – 0.88664 - 0.71887& X