Question

let p be the population proportion for the following condition. find the point estimate for p.
in a survey of 1785 adults from country a, 575 said that they were not confident that the food they eat in country a is
safe.
the point estimate for p, \\( \hat { p } \\), is \\( \square \\).
(round to three decimal places as needed.)

Explanation:

Step1: Recall the formula for point - estimate of 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 (in this case, the number of adults who said they were not confident) and \(n\) is the sample size.
Here, \(x = 575\) and \(n=1785\).

Step2: Calculate \(\hat{p}\)

Substitute the values into the formula: \(\hat{p}=\frac{575}{1785}\).
Using a calculator, \(\frac{575}{1785}\approx0.322\) (rounded to three decimal places).

Answer:

\(0.322\)