Astudy was designed to compare two energy drink commercials. each participant was shown the commercials in random order and asked to select the better one. commercial a was selected by 54 out of 115 women and 83 out of 145 men. give an estimate of the difference in gender proportions that favored commercial a.

Atravel agent is booking a trip to england, scotland, ireland, and france for a group of senior citizens. the agent sent surveys to the group, asking which countries they would like to visit, in order, and created the shown preference schedule (e = england, i = ireland, s = scotland, f = france). which country is the condorcet winner? number of votes 15 12 16 19 1st f e e i 2nd e s i s 3rd s i s e 4th i f f f 1. scotland 2. england 3. france 4.ireland