1. Satisfaction A recent Gallup Poll asked a random 206 sample of 1025 adults, "In general, are you satisfied or dissatisfied with the way things are going in the United States at this time?" In all, 25% said that they were satisfied. The dotplot shows the propor tion who said they were satisfied in each of 500 random samples of size 1025 from a population where 25% are satisfied. 0.2 0.21 0.22 0.23 0.24 0.25 0.26 0.27 0.28 0.29 Simulated sample proportion who said satisfied Distribution of simulated proportion #samples 500 mean SD 0.25 0.014 (a) Use the results of the simulation to approximate the margin of error for Gallup's estimate of the pro- portion of U.S. adults who were satisfied with the way things were going in the United States at the time of the poll. (b) Interpret the margin of error.