A poll conducted in 2017 found that 46% of U.S. adult Twitter users get at least some news on Twitter (p =46). The standard error for this estimate was 3% (SE=3), and a normal distribution may be used to model the sample proportion. What is the 99% confidence interval for the fraction of U.S. adult Twitter users who get some news on Twitter? (In a normal distribution, 95% of the data is within 1.96 standard deviations of the mean and 99% of the data is within 2.58 standard deviations of the mean ).

We are 99% confident that _____% to _____% of U.S. adult Twitter users get some news on Twitter.