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STA 3024 Exam 1 Sample Questions

STA 3024 Exam 1 Sample Questions

STA 3024 Exam 1 Sample Questions

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55. We are investigating whether the presence of a certain disease is related to blood type. Supposewe could calculate the conditional distribution of disease status given blood type for the entirepopulation. In which of the following two situations would the population conditional distributionindicate that disease status and blood type are independent?Disease StatusBlood Type Present AbsentAB 3% 97%A 2% 98%B 2% 98%O 1% 99%Situation IDisease StatusBlood Type Present AbsentAB 50% 50%A 0% 100%B 50% 50%O 0% 100%Situation II(A) Situation I only(B) Situation II only(C) both Situation I and Situation II(D) neither Situation I nor Situation II56. Which of the following contingency tables would yield a larger value of the X 2 test statistic?(Note: In both tables, the expected count for each cell is 8.)ResponseGender Yes NoMale 10 6Female 6 10Table IResponseGender Yes NoMale 6 10Female 10 6Table II(A) Table I(B) Table II(C) Both tables would yield the same value of X 2 .(D) We do not have enough information to answer this question.57. A contingency table for a rather large random sample is shown below, along with the conditionaldistribution of the response variable given the explanatory variable.<strong>Exam</strong> ResultBreakfast Pass FailYes 6,410 (73%) 2,324 (27%)No 2,306 (71%) 951 (29%)A chi-squared test yields a test statistic value of X 2 = 8.02 and a p-value of 0.005. Which ofthe following is true?(A) There is evidence of a strong association between exam result and breakfast.(B) There is strong evidence of an association between exam result and breakfast.(C) both (A) and (B)(D) neither (A) nor (B)

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