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.

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?