A marketing research company surveyed students from Faculty of Sciences and Faculty of Art to nd the percentage of the students who like playing football. The data are given below. Sample Size Number who like playing football Sciences 392 56 Art 286 72 Assumer the populations are normally distributed. The marketing research company is testing the hypothesis that the proportion of students who like playing football is the same for the two faculties. By using critical values approach, test at a = 0.1. (15 marks)