A 99 percent one-sample z-interval for a proportion will be created from the point estimate obtained from each of two random samples selected from the same population: sample r and sample s. Let r represent a random sample of size 1,000, and let s represent a random sample of size 4,000. If the point estimate obtained from r is equal to the point estimate obtained from s, which of the following must be true about the respective margins of error constructed from those samples?.