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The health board of a major city wants to know if people who have different type

ID: 3359604 • Letter: T

Question

The health board of a major city wants to know if people who have different types of healthcare coverage (HMO, Medicate/Medicaid, or no insurance) go to different types of hospitals (privately funded, government-funded, or free clinic) when they are sick or injured. Using the data below, conduct a two-way chi-square to test the null hypothesis that type of insurance does not affect which hospital they choose.

                                                                                    Hospital Type

Insurance Type                     Private     Public     Free Clinic

HMO                                       17               6               4

Medicare/Medicaid                24             30               9

No Insurance                           8             14               8

Explanation / Answer


The chi-square statistic is 9.9177. The p-value is .041837. The result is significant at p < .05.

The variables are dependent.

Results Private Public Free Clinic Row Totals HMO 17  (11.02)  [3.24] 6  (11.25)  [2.45] 4  (4.72)  [0.11] 27 Medicare/Medicaid 24  (25.72)  [0.12] 30  (26.25)  [0.54] 9  (11.02)  [0.37] 63 No Insurance 8  (12.25)  [1.47] 14  (12.50)  [0.18] 8  (5.25)  [1.44] 30 Column Totals 49 50 21 120  (Grand Total)