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In October 2019, numerous political polls asked random samples of registered U.S. voters whether they support the impeachment of President Trump. Table C below gives
In October 2019, numerous political polls asked random samples of registered U.S. voters whether they support the impeachment of President Trump. Table C below gives information regarding five such polls. Table C: Results of five polls, October 2019 Poll n % supporting impeachment 1 Reuters/Ipsos 961 44 2 Economist/YouGov 1241 50 3 Politico/Morning Consult 1993 51 4 NPR/PBS/Marist 926 52 5 Quinnipiac 1587 55 a. Which one of the five polls offers the most precise inference regarding the proportion of all registered U.S. voters supporting the impeachment of President Trump? (5 marks) b. Which of the five polls imply that more than half of the population of registered U.S. voters is in favor of impeaching President Trump? Assume that a = 0.05. (5 marks) c. Suppose that you decided to ignore polls with a margin of error larger than three percentage points (i.e., 0.030). Which of the five polls in Table C would you ignore? Assume that a = 0.05 and ensure you obtain three decimal places. (5 marks) d. Imagine you wanted to poll a random sample of registered U.S. voters so that the margin of error is only one percentage point. What is the minimum sample size achieving this objective, assuming that a = 0.05
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