A sample proportion of 0.62 is found. To determine the margin of error for this statistic, a simulation of 200 trials is run, each with a sample size of 100 and a point estimate of 0.62.

The minimum sample proportion from the simulation is 0.73, and the maximum sample proportion from the simulation is 0.97.

What is the margin of error of the population proportion using an estimate of the standard deviation?