Problem 1: News coverage during a recent election projected that a certain candidate would receive 54.8% of all votes cast; the projection had a margin of error of 13%. a. Give a point estimate for the proportion of all votes the candidate will receive. b. Give an interval estimate for the proportion of all votes the candidate will receive. c. In your own words, state the difference between a point estimate and an interval estimate. Problem 2: A Gallup poll of 2,000 Russians taken between April and June 2014 (after the Olympic games in Russia and the annexation of the Crimean peninsula) showed that 83% approved of President Putin's performance. If random sampling were used for this survey, what is the margin of error for this estimate at the 95% confidence level? (In fact, Gallup uses weighted sampling and, based on it, reports a margin of error of 2.7%) Source: gallup. com and search for "Russian Approval."