A poll was conducted to determine the popularity of a 3D game creation software that was targeted to be launched in three months. Online interviews with 1200 young adults were conducted which revealed that 45% said they would purchase the new software. The margin of error was 3 percentage points. What is the needed sample size to obtain a 96% confidence interval estimate of the percentage of the targeted young adults who will purchase the new software by allowing the same level of margin of error?