A movie studio invited a representative audience to a prelim…
A movie studio invited a representative audience to a preliminary screening of a movie. At the end of the movie the members of the audience were asked to answer a survey comparing the ending of the movie with two alternative endings. For simplicity let us denote the ending the audience saw by A, and the two alternative endings by B and C. Suppose that the audience provided the following feedback.A total of 14 responses were:Is A at least as good as B? NOIs A at least as good as C? YESIs B at least as good as A? YESIs B at least as good as C? YESIs C at least as good as A? YESIs C at least as good as B? NOA total of 7 responses were:Is A at least as good as B? YESIs A at least as good as C? YESIs B at least as good as A? NOIs B at least as good as C? YESIs C at least as good as A? NOIs C at least as good as B? NOA total of 79 responses were:Is A at least as good as B? YESIs A at least as good as C? YESIs B at least as good as A? NOIs B at least as good as C? NOIs C at least as good as A? NOIs C at least as good as B? YESIf the movie studio takes these answers as representing the population, and they want to have the ending that is the best between A, B, and C to most people, what ending should they choose?