[See Solution] Are teacher evaluations independent of grades? After midterm, a random sample of 284 students were asked to evaluate teacher performance. The


Question: Are teacher evaluations independent of grades? After 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 \((\mathrm{A}, \mathrm{B}\), or \(\mathrm{C})\) were included in the summary table.

Teacher Evaluation A B C Total
Positive 35 33 28 96
Neutral 25 46 35 106
Negative 20 22 40 82
Total 80 101 103 284

Use a \(5 \%\) level of significance to test the claim that teacher evaluations are independent of midterm grades.

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