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 = 999 ) and ( x = 515 ) who said \yes.\ use a ( 90% ) 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 best point - estimate of the population proportion \(p\) is the sample proportion \(\hat{p}\). The formula for the sample proportion is \(\hat{p}=\frac{x}{n}\), where \(x\) is the number of successes in the sample and \(n\) is the sample size.

Step2: Substitute the given values into the formula

Given \(n = 999\) and \(x=515\). Then \(\hat{p}=\frac{515}{999}\).

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Answer:

\(0.516\)