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 = 978 and x = 525 who said \yes.\ use a 99% 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 point - estimate formula

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 values

Given $n = 978$ and $x = 525$, we substitute these values into the formula: $\hat{p}=\frac{525}{978}$.

Step3: Calculate and round

$\hat{p}=\frac{525}{978}\approx0.537$.

Answer:

$0.537$