Question 4 A marketing research company surveyed students from Faculty of Sciences and Faculty of Art to find 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) Question 5 Do students at your school study more, less, or about the same as at other business schools? Business Week reported that at the top 50 business schools, students studied an average of 14.6 hours. Set up a hypothesis test to try to prove that the mean number of hours studied at your school is different from the 14.6 hour benchmark reported by Business Week a) State the null and alternative hypotheses. b) What is a Type I error for your test? What is a Type II error for your test