Angela recently discovered that the proportion of cat owners in Scranton, Pennsylvania, is 0.19. Suppose Angela were to select a random sample of n = 500 Scranton residents and determine the proportion within the sample who are cat owners. If this sampling process is repeated many times, we can build a sampling distribution. We know in this case the sampling distribution will be Normal in shape and will have a standard deviation equal to approximately ___________.

Group of answer choices

0.0175

0.0314

0.0277

0.0003

0.0444