[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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