Amy is a contestant on a singing reality tv show. Every week, the public votes for the contestant who they think should win, and the person with the least amount of votes has to leave. Amy is worried that her performance did not go well and that she might be voted off. Before the public voting officially begins, she tweets to her followers and sets up a poll where she asks them if they would vote for her or not. 9960 people respond, and out of them, 1036 say they would vote for her. Find the 95% confidence interval for the true proportion of the votes that Amy will get. Report the minimum proportion of voters that she can be 95% confident will vote for her.