Please note that this question consists of six parts. Show a…
Please note that this question consists of six 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 and whether the student is in Honor Roll or not and whether the student is a Music student or not are noted. A contingency table of the data is given below. Expected counts are provided 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 the null and alternative hypotheses to test if there is an association between “Music Student” and “Honor Roll Student.” How was the expected count of 16.17 calculated for the number of students who are music students and honor students? Show your calculation to get this value. Calculate the test statistic for the test you set up in part 1. You may use MINITAB to get the value of final test statistic. However, you need to show the mathematical calculation that resulted in the final answer. Under the null hypothesis, what is the distribution of the test statistic? What is the degrees of freedom of the test statistic? Calculate the p-value for the test you formulate in part 1. Write the p value as a probability statement and then use may use software (MINITAB) or provided tables to find the numerical value of the p value. Write the final conclusion in the context of the problem (use 5% significance level).