In order to increase revenue, many video game publishers sell downloadable content (DLC) separately from the main game. Such content could include additional costumes for the playable characters, additional online game modes, special weapons, etc.
A recent industry survey polled 706 game players ages 20 to 30 asking them how important DLC was to their enjoyment of a game. Suppose that the true proportion of players ages 20-30 who believe DLC is "very important" is actually 0.55. What would the standard deviation of the sampling distribution of the sample proportion be in this case?