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Now you are going to determine if there is an association between two categorical variables -- for example, the comparison of gender and a college

Now you are going to determine if there is an association between two categorical variables -- for example, the comparison of gender and a college graduate.In this assignment, you will work with the steps of a new kind of hypothesis test called the chi-square test of independence.

Instructions

  1. Review the following data and answer the questions in a Word document:

College Graduate

Not a College Graduate

Total

Male

56

32

88

Female

62

41

103

Total

118

73

191

  • Have the assumptions for this test been met? Why or why not?
  • State the null and alternative hypotheses for this test.
  • Calculate the test statistic for this test. Explain what this test statistic represents.
  • Use technology, such as Excel, to calculate the p-value for this test. Explain what this p-value represents.
  • State the conclusion for this test at the 0.05 level of significance. Do you think these variables are dependent/associated? Why or why not?

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