Question 2 (40pts) The health board of a major city wants to know if people who have different types of healthcare coverage (HMO, Medicare/Medicaid, or no insurance) go to different types of hospitals (privately-funded, government-funded, or free clinic) when they are injured. Using the data below, test the null hypothesis that type of insurance does not affect which hospital type they choose. Hospital Type Insurance Type Private Public Free Clinic HMO 17 Medicare/Medicaid 24 30 00 60 No insurance 8 14 (a) (4pts) Identify an independent variable and dependent variable. (b) (6pts) State the research hypothesis and null hypothesis for this question c) (5pts) Which test statistic should you use? (e.g., two sample independent T-test, ANOVA, chi-square, or correlation)? PAGE 2 (d) (10 pts) Compute the appropriate test statistics (Please show all your work). (e) (10 pts) In full sentences, please a) make a decision AND b) interpret your results when a = .05. In your answer, please INCLUDE critical test statistics from the right distribution chart (e.g., Z distribution, T distribution, F distribution, or Chi-square distribution) (f) (5pts) Find the pattern of the relationship between hospital type and insurance type. You should justify your answer with the percentages