Please note that this question consists of seven parts. Show…

Please note that this question consists of seven parts. Show all your work. You may use Minitab but you need to show the steps to get the answer. Just giving the answer without showing work may result in zero for the question.  A random sample of 300 students is taken. A contingency table below summarizes the data on whether a student is in Honor Roll or not, and whether a student is a Music student or not. The expected counts are provided in red within the parentheses. Music Student Honor Roll Student Total Yes No Yes 17 (16.17)  33 (33.83)  50 No 80 (80.83) 170 (169.17) 250 Total 97 203 300   Write in the context of the problem the null and alternative hypotheses to test if there is an association between “Music Student” and “Honor Roll Student”. Under the null hypothesis, how many students, who are music students and are in Honor roll, should we expect to see? Clearly show the mathematical calculation to obtain this value. Calculate the test statistic for the test of the hypotheses in part 1.  You must show the mathematical calculation to obtain the value of the test statistic. You may use Minitab to get the very final numerical value.  State the distribution of the test statistic under the null hypothesis, including the degrees of freedom.  Find the p-value for the test of the hypotheses in part 1. You must clearly write down the probability statement for the p-value. You can then use the appropriate table or Minitab to find the final numerical value of the p value.  Write the final conclusion in the context of the problem at 5% significance level. From the methods covered in this course, suggest another test that would answer the same research question (you do not need to conduct the testing procedure here).