Suppose that in a large city it is desired to get an estimate of the proportion of voters in favor of a certain proposal by taking a sample of 200. What is the probability that a majority of the persons in the sample are against the proposal if, in reality, only 45 percent of the electorate is against the proposal. Note that we must assume that the population is sufficiently large so that the probability of "success" on each trial is constant, and that the trials are independent.