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In: Math

In a poll, 360 students were tested about their interests in mathematics and statistics, the results...

  1. In a poll, 360 students were tested about their interests in mathematics and statistics, the results are presented in the table below. Please determine at 0.01 level of significance whether a student’s interest in mathematics and independent of his/her interest in statistics.

Interest in statistics

Interest in mathematics

Low

Average

High

Low

63

42

15

Average

58

61

31

High

14

47

29

  1. In this scenario which chi-square test does he need to perform?
  2. Please construct the null and alternative hypotheses, and specify the type of test it is (e.g., two-sided, left or right sided test)
  3. Please compute the expected counts for each cell of the contingency table
  4. Please compute the test statistics.
  5. Please determine the degree of freedom, and then compute the p-value (you are using p-value approach for this task)
  6. Please state your conclusions.

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