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The table below shows the relation between the performances of students in mathematics and science. Test the hypothesis that performance in science is independent

The table below shows the relation between the performances of students in mathematics and science. Test the hypothesis that performance in science is independent of performance in mathematics, using 0.01 significance level. OBSERVED SCIENCE Above Average Average Below Average TOTAL Above Average 45 47 26 118 MATHEMATICS Average 71 99 42 212 Below Average 20 52 33 105 TOTAL 136 198 101 435

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