STA 3024 Exam 1 Sample Questions

99. An exit poll for the 2004 presidential election asked a sample of 345 voters whether they weremarried and which candidate they voted for. There were 127 married Bush voters, 51 unmarriedBush voters, 93 married Kerry voters, and 74 unmarried Kerry voters. (No voters in our samplevoted for any candidate other than Bush or Kerry.) For our sample, what is the conditionalpercentage of people who voted for Kerry, given that they were unmarried?(A) 42%(B) 44%(C) 59%(D) 63%(E) We do not have enough information to answer this question.100. Consider the question of whether gender is independent of voters’ decisions on whether to votefor Candidate A or Candidate B in a particular election. (No other candidates are running.) Ifthese variables are independent, then for the population of all voters, which of the following mustbe true? (Note: The population does not necessarily have equal numbers of men and women.)(A) The percentage of Candidate A voters who were men equals the percentage of CandidateA voters who were women.(B) The percentage of all voters who were men equals the percentage of all voters who votedfor Candidate A.(C) The percentage of all voters who voted for Candidate A equals the percentage of all voterswho voted for Candidate B.(D) The percentage of men who voted for Candidate A equals the percentage of men who votedfor Candidate B.(E) The percentage of men who voted for Candidate A equals the percentage of women whovoted for Candidate A.101. A study is conducted to investigate the effectiveness of a new anti-nausea drug for chemotherapypatients. A sample of 30 chemotherapy patients suffering from severe nausea is divided evenlyamong three treatment groups: a high dose of the drug, a low dose of the drug, or a placebo.The results are shown below.Which of the following is true?NauseaTreatment Yes No TotalHigh dose 4 6 10Low dose 5 5 10Placebo 6 4 10(A) Since the number of patients in the sample whose nausea was relieved is different fordifferent treatments, we can conclude that nausea relief depends on treatment.(B) Since the sample conditional percentages of nausea relief given treatment are different fordifferent treatments, we can conclude that nausea relief depends on treatment.(C) both (A) and (B)(D) neither (A) nor (B)