Arecent poll taken by the movie theatre industry shows that 28% of the population attends a movie in a theater at least once a month. a sample of 300 people shows that only 12% of people attends a movie in a theater at least once a month. to determine whether this sample supports the population proportion of 0.28, a simulation of 100 trials is run, each with a sample size of 200 and a point estimate of 0.12. the minimum sample proportion from the simulation is 0.10, 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?