Based on these sample data, we can be $90\%$ confident that the proportion of all millennial moms who have created a social media account for their baby before the baby's first birthday is between $0\mathrm{.}375$ and $0\mathrm{.}425.$ We have used a method to construct this interval estimate that has a $10\%$ error rate.

A button hyperlink to the SALT program that reads: Use SALT.

Find the $99\%$ confidence interval for p$.($Round your answers to three decimal places.$)$