Problem

Let $p$ be the population proportion for the following condition. Find the point estimates for $p$ and $q$. In a survey of 1423 adults from country A, 534 said that they were not confident that the food they eat in country $A$ is safe. The point estimate for $p, \hat{p}$, is 0.375 (Round to three decimal places as needed.) The point estimate for $q, \hat{q}$, is (Round to three decimal places as needed.)

Solution

Step 1 :Let $p$ be the population proportion for the following condition. We are asked to find the point estimates for $p$ and $q$. In a survey of 1423 adults from country A, 534 said that they were not confident that the food they eat in country $A$ is safe.

Step 2 :The point estimate for $p, \hat{p}$, is the proportion of adults who said that they were not confident that the food they eat in country A is safe. This can be calculated by dividing the number of adults who said they were not confident (534) by the total number of adults surveyed (1423). So, $\hat{p} = \frac{534}{1423} = 0.375$ (rounded to three decimal places).

Step 3 :The point estimate for $q, \hat{q}$, is the proportion of adults who said that they were confident that the food they eat in country A is safe. This can be calculated by subtracting $\hat{p}$ from 1, since $p$ and $q$ are complementary. So, $\hat{q} = 1 - \hat{p} = 1 - 0.375 = 0.625$ (rounded to three decimal places).

Step 4 :Final Answer: The point estimate for $p, \hat{p}$, is $\boxed{0.375}$ and the point estimate for $q, \hat{q}$, is $\boxed{0.625}$.

From Solvely APP
Source: https://solvelyapp.com/problems/19007/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download