In a Midwestern state an automobile insurance company has a large number of customers. From company files it is known that 80% of the customers have only the state minimums for insurance. An official with the state board of insurance is going to take a random sample of 100 accounts to review. Find the standard deviation of the sample proportion in this situation.
Give your answer to 4 decimal places. For help on how to input a numeric answer, please see "Instructions for inputting a numeric response."