Please use this equation Z = P hat - p / square root of p(1-p) to standardize I need to see the steps involving p hat. I know this question has been solved before but the explanation involves a different solution method/vague than what I've learned.

14. When an archer shoots her arrow, she hits the bullseye on the target 78% of the time. The result of each of her shots is independent of any other. If she shoots 300 arrows, what is the approximate probability she hits the bullseye at least 240 times? (A) 0.0162 (B) 0.0436 (C) 0.0719 (D) 0.1401 (E) 0.2005