Question

let p be the population proportion for the following condition. find the point estimate for p
in a survey of 1406 adults from country a, 613 said that they were not confident that the food they eat in country a is safe.
the point estimate for p, p, is
(round to three decimal places as needed.)

Explanation:

Step1: Recall the formula for point - estimate of proportion

The formula for the point - estimate of a population proportion $\hat{p}$ is $\hat{p}=\frac{x}{n}$, where $x$ is the number of successes (in this context, the number of people with the given characteristic) and $n$ is the sample size.
Here, $x = 613$ (the number of adults who were not confident that the food is safe) and $n=1406$ (the sample size of the survey).

Step2: Calculate the point - estimate

Substitute the values into the formula: $\hat{p}=\frac{613}{1406}$.
Using a calculator, $\frac{613}{1406}\approx0.436$

Answer:

$0.436$