Question

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 = 1033 ) and ( x = 593 ) 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.)

Explanation:

Step1: Recall the formula for point - estimate of population proportion

The formula for the point - estimate of the population proportion \(p\) is \(\hat{p}=\frac{x}{n}\), where \(x\) is the number of successes and \(n\) is the sample size.

Step2: Substitute the given values into the formula

Given \(n = 1033\) and \(x = 593\), we have \(\hat{p}=\frac{593}{1033}\).

Step3: Calculate the value

\(\frac{593}{1033}\approx0.574\)

Answer:

\(0.574\)