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

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Basic Math

  1. In a poll, 360 students were tested about their interests inmathematics and statistics, the results are presented in the tablebelow. Please determine at 0.01 level of significance whether astudent’s interest in mathematics and independent of his/herinterest 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 toperform?
  2. Please construct the null and alternative hypotheses, andspecify the type of test it is (e.g., two-sided, left or rightsided test)
  3. Please compute the expected counts for each cell of thecontingency table
  4. Please compute the test statistics.
  5. Please determine the degree of freedom, and then compute thep-value (you are using p-value approach for thistask)
  6. Please state your conclusions.

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