A recent poll taken by the national ice cream industry shows that 32% of the population names vanilla as its favorite ice cream flavor. A sample of 200 people shows that only 20% of those polled names vanilla as their favorite ice cream flavor. To determine whether this sample supports the population proportion of 0.32, a simulation of 100 trials is run, each with a sample size of 50 and a point estimate of 0.20. The minimum sample proportion from the simulation is 0.16, and the maximum sample proportion from the simulation is 0.28. What is the margin of error of the population proportion using half the range?