Question

a research institute poll asked respondents if they felt vulnerable to identify theft. n the poll n=1100 and x=542 who said yes use 90% confidence level find the best point estimate of the population proportion p

Answer 1

We are told tha our sample consists of n=1100 polls, out if which 542 said yes.

The 90% confidence level is not used to calculate the point estimate of the population proportion p.

The best point estimate of the population proportion p is obtained by simply calculating the the proportion among the sample. That is

$p^{\prime}=\frac{x}{n}=\frac{542}{1100}=0.492727272$

which rounded to three decimal places is

$p^{\prime}\approx0.493$