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.QUESTION 17 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) 2 3 4 5 6 P(X) 0.17 0.08 0.25 0.1 020 102 Observed frequencies 18 20 14 23 16 (0;) Expected frequencies ? ? (E.) The expected frequency that a "TWO" appears is OAg O B. 50/3 Ocg OP. 18QUESTION 27 The diameter of cork of a Champagne bottle is supposed to be 1.5 cm. If the cork is either too large or too small, it will not fit in the bottle. The random sample data don't show strong evidence that the true mean diameter has moved away from the target, at significance level a = 0.05. Which of the following intervals could be the 95% confidence interval of the true mean based OA (1.343cm, 1.461cm) O B. (1.528cm, 1.604cm) O c. (1.488cm, 1.501cm) O D. (1.458cm, 1.499cm) O D. (1.458cm, 1.499cm) QUESTION 28 Consider a test of significance of Ho VS. HA . If He is not rejected at 5% level of significance, then Ho is also not rejected at OA 1% level O B. 10% level O C. Both (A) and (B) O D. None of the above QUESTION 29 Which of the following statements about type I and type II errors is TRUE? O AP(Type I error) + P(Type II error) = 1. O B. P(Type II error) = a (the significance level used). C.Type I error is the decision of rejecting Ho when HA is true. O D. With a large enough sample size, both types of errors can be made small by selecting a small a