A customer satisfaction analyst wants to sample owners of a certain type of car to estimate what proportion of all owners are satisfied with that car. They will use the sample data to construct a one-sample z zz interval for the proportion, and they are considering two sample sizes: a large sample of n = 800 n=800n, equals, 800 for more accurate results, or a small sample of n = 200 n=200n, equals, 200 to save time and money. Assuming the sample proportion is the same in each sample, what is true about the margins of error from these two samples?