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(8 points) Buckle up! ~ How does seat belt use vary with drivers' ethnic group? It is well known that location and gender (males are less likely to buckle up) are factors. Here is the data and the mosaic plot for a random sample of male drivers observed in Houston. Ethnic group of driver Belted Not Belted Total Black 274 96 370 Hispanic 376 166 542 White 197 60 257 Total 847 322 1 1 69 t Ethnicity 3 Black Hispanic White E n! .'s" = 3 0' E m 8 E m E .._ '9: (D m m an 3 .E' 5 E 1. Select the name of the test that should be used to assess if there is a relationship between seat belt use and ethnic group. OA. 12 test of independence B. 12 goodness of fit 0 C. One-proportion ztest 2. Which of the following conditions must be met for the hypothesis test to be valid? Select all that apply. BA. There must be at least 10 "success" and 10 "failure" observations. B. The sample size must be at least 30 or the population data must be normally distributed. C] C. The observations must be independent of one another. D. There must be an expected count of at least 5 in every cell of the table. 3. What is the expected value for the number of White drivers who were wearing a seat belt? 4. State the degrees of freedom for this test: 5. Calculate the test statistic: 6. What was the contribution toward this test statistic of White drivers who were wearing a seat belt? 7. Calculate the p-value for this test: 8. Based on the above p-value, we have little v evidence against the null hypothesis