Please show all work

Chi-Square Tests Take Home Assignment (25pts) For each of the following problems: a) State the Null and Alternate Hypothesis. b) Sketch the critical region indicating critical value(s). c) Calculate the test statistic and show where the test statistic falls on the sketch. d) Make your decision and answer any question posed in the problem. After midterm, a random sample of 284 students was asked to evaluate teacher performance. The students were also asked to provide their midterm grade in the course being evaluated. Only students with passing grades (A, B or C) were included in the contingency table below. Use a 1% level of significance to test the claim that teacher evaluations are independent of midterm grades. (15 points) Mid Term Grade Teacher Evaluation A B C Row Total Positive 53 33 18 Neutral 25 46 29 Negative 14 22 44 Column Total