STA 3024 Exam 1 Sample Questions

69. Which of the following statements about the chi-squared test statistic, X 2 , is true?(A) Larger values of X 2 correspond to larger p-values.(B) Larger values of X 2 mean less evidence against H 0 .(C) Larger values of X 2 mean more evidence that the variables are independent.(D) If some observed counts differ greatly from their expected counts, the value of X 2 will belarge.70. A survey is conducted to investigate whether opinion on banning mandatory prayer in publicschools depends on highest level of education. A chi-squared test is performed, and thestandardized residuals for the different cells are shown below:Ban Prayer?Education Yes NoHS Dropout −6.55 6.55High School −2.99 2.99Some College 0.47 −0.47Bachelor’s Degree 6.15 −6.15Graduate Degree 7.32 −7.32Which of the following statements about these standardized residuals are true?Statement I: These standardized residuals were calculated by subtracting each cell’sexpected count from its observed count, squaring the result, and dividing by thestandard error.Statement II: In our sample, more people with graduate degrees supported banningmandatory prayer than we would have expected if the variables were independent.(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.71. Which of the following statements about assumptions for the chi-squared test are true?Statement I: Both variables must be quantitative with a normal distribution.Statement II: Each cell’s observed count must be at least 5.(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.