You are interested in investigating whether gender and major are associated at your college. The table below shows the results of a survey. Frequencies of Majors and Gender Math/Science Arts/Humanities Business/Econ. Other Men 98 106 78 53 Women 84 90 85 30 What can be concluded at the a = 0.10 significance level? a. What is the correct statistical test to use? Goodness-of-Fit Homogeneity o Independence Paired t-test b. What are the null and alternative hypotheses? Ho: O College major and gender are dependent. O College major and gender are independent. O The distribution of college major is not the same for each gender. O The distribution of college major is the same for each gender. H1: O The distribution of college major is not the same for each gender. O ollege major and gender are dependent. O College major and gender are independent. OThe distribution of college major is the same for each gender. c. The test-statistic for this data = (Please show your answer to 2 decimal places.) d. The p-value for this sample to 4 decimal places.) (Please show your answer

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