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12. (10 pts) Are teacher evaluations independent of grades? After the midterm, a random sample of 284 students were asked to evaluate teacher performance. The students were also asked to supply their midterm grade in the course being evaluated. In this study, only students with a passing grade were included in the summary table. Use a 5% level of significance to test the claim that teacher evaluations are independent of midterm grades. Midterm Grade Teacher Evaluation Row toul Positive 35 190 Neutral 25 Negative 20 22 Column Toul 101 a. State the null and alternate hypotheses b. Identify the appropriate sampling distribution: Chi-square test of independence, Chi-square goodness of fit, or Chi-square for testing or estimating a of of What is the value of the sample test statistic