STA 3024 Exam 1 Sample Questions

63. A random sample of Americans is asked whether they approve or disapprove of the performanceof the President. If people’s opinions about the President’s performance are independent ofgender, which of the following best describes what we should see in the sample?(A) The percentage of men who answer “Approve” should be close, but probably not exactlyequal, to the percentage of women who answer “Approve.”(B) The percentage of men who answer “Approve” should be exactly equal to the percentageof women who answer “Approve.”(C) The percentage of men who answer “Approve” should be close, but probably not exactlyequal, to the percentage of men who answer “Disapprove.”(D) The percentage of men who answer “Approve” should be exactly equal to the percentageof men who answer “Disapprove.”64. A pizza delivery chain wants to investigate the relationship between order type (delivery orcarryout) and order method (online or by phone). A random sample of 1201 orders nationwideis summarized by the following contingency table:Order MethodOrder Type Online Phone TotalDelivery 198 673 871Carryout 37 293 330Total 235 966 1201Calculate the percentage of carryout orders that were placed online.(A) 13.1%(B) 15.4%(C) 11.2%(D) 12.6%(E) 15.7%65. We take a random sample of 50 UF students, ask them a survey question with two responses,and record whether they are male or female. Our sample contains 22 males and 28 females, andthe conditional distributions of response given gender are shown below.Gender Response A Response B TotalMale 41% 59% 100%Female 29% 71% 100%For the “Male, Response A” cell, calculate the expected count that we would use when doing achi-squared test.(A) 7.5(B) 9.0(C) 11.0(D) 20.5