Use the sample data and confidence level given below to complete parts $($a$)$ through $($d$).$

A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, $n=901$ and $x=515$ who said "yes." Use a $95\%$ confidence level.

Click the icon to view a table of $z$ scores.

a$)$ Find the best point estimate of the population proportion $p.$

$($Round to three decimal places as needed.$)$

b$)$ Identify the value of the margin of error $E.$

$E=$

$($Round to three decimal places as needed.$)$

c$)$ Construct the confidence interval.

$95\%95\%95\%95\%$

$(Roundto$ three decimal places $as$ needed.$)$

$d$