STA 3024 Exam 1 Sample Questions

88. A medicine for a certain disease can be administered in two ways: by pill or by injection. Weplan to conduct a study with two large groups of patients. Group A will receive the medicineby pill, and Group B will receive it by injection. Suppose that we actually know that whetheror not the medicine cures the disease is independent of how it is administered. Which of thefollowing statements are true?Statement I: The difference between the proportion of Group A patients who are curedand the proportion of Group A patients who are not cured will probably be close tozero.Statement II: The difference between the proportion of Group A patients who arecured and the proportion of Group B patients who are cured will probably be close tozero.(A) Both Statement I and Statement II are true.(B) Statement I is true; Statement II is false.(C) Statement I is false; Statement II is true.(D) Both Statement I and Statement II are false.89. Suppose gender and whether people think the federal income tax is too high are independent.Which one of the following statements is true for the population?(A) The percentage of males who think the tax is too high is equal to the percentage of femaleswho think the tax is too high.(B) The percentage of males who think the tax is too high is equal to the percentage of maleswho don’t think the tax is too high.(C) The percentage of males who think the tax is too high is equal to the percentage of femaleswho don’t think the tax is too high.(D) The percentage of males who don’t think the tax is too high is equal to the percentage offemales who think the tax is too high.90. One of the variables in a chi-squared test is students’ grades, represented simply by letter (A,B, C, D, or F). Which of the following statements are true?Statement I: The chi-squared test uses all the available information about this variable.Statement II: There exist alternative tests that might work better for this data.(A) Both Statement I and Statement II are true.(B) Statement I is true; Statement II is false.(C) Statement I is false; Statement II is true.(D) Both Statement I and Statement II are false.