There is an upcoming election for student council president at a high school. Candidate A must get over 50% of the vote against Candidate B to be elected. A poll was taken of a random sample of 100 students from the high school and 37 students said they would vote for Candidate A. Simulations were done with an assumption that the population is split 50-50 using a sample size of 100 to see how likely a sample of 100 would have 37 who preferred Candidate A. The results of 100 simulations are shown below. Create a 95% confidence interval based on the data from the simulation, to the nearest hundredth, and state whether the observed proportion is within the margin of error of the simulation results.
