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. 6051 people respond, and out of them, 2713 say they would vote for her. Find the 90% confidence interval for the true proportion of the votes that Amy will get. Report the maximum proportion of voters that she can be 90% confident will vote for her.

1- Only round your final answer. 2- Round your final answer to 2 decimal place. Enter your final answer with 2 decimal place. 3- Report your proportion as a decimal number and not a percentage.