QUESTION 18 Suppose an unfair die is rolled 100 times to investigate whether it fits a specific probability model. After tossing, the specific model and the observed numbers are shown in the following table: Number (X) 1 2 3 4 5 6 P(X 0.17 0.08 0.25 0.1 0.2 0.2 Observed frequencies 18 20 14 23 16 (0;) Expected frequencies (E;) 2 The *2 test statistics and the corresponding distribution under Ho are OA 11.4348, x] O B. 1.2644, x] Oc. 11.4348, x OD. 1.2644, x] QUESTION 19 Suppose an unfair die is rolled only 28 times to investigate whether it fits a specific probability model. After tossing, the specific model and the observed numbers are shown in the following table: Number (X) 1 2 3 4 5 6 P(X 0.16 0.04 0.25 0.11 0.2 0.24 Observed frequencies (0;) 5 2 8 2 8 3 Expected frequencies (E.) ? ? ? Which of the following is TRUE? O A We cannot use the %2 test to do the test of Goodness of fit, since K, 2 5 is not satisfied for all categories. O B. We should use the t test to do the test of Goodness of fit, since n s 30 O C. We should use the *2 test to do the test of Goodness of fit. D. We cannot use the *2 test to do the test of Goodness of fit, since , > s is not satisfied for all categories.QUESTION 20 In a survey, respondents were asked "If your party nominated a woman for President, would you vote for her if she were qualified for the job?" The result for 361 respondents, by race, is shown below: Answer to the question Race RowTotal White Black Others Yes 224 42 23 289 No 55 8 9 72 Column Total 279 50 32 361 We are interested in knowing whether the opinions are associated with the race. What is the null hypothesis for this situation? O A There is an association between race and opinion on voting for a female president in the population. O B. There is an association between race and opinion on voting for a female president in the sample. O C. There is no association between race and opinion on voting for a female president in the population. O D. There is no association between race and opinion on voting for a female president in the sample