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 (Round to three decimal places as needed.)

Solution

Step 1 :Let $p$ be the population proportion for the condition 'not confident that the food they eat in country A is safe'.

Step 2 :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 3 :The point estimate for $p, \hat{p}$, is the proportion of the sample that meets the condition.

Step 4 :In this case, the number of adults who meet this condition is 534, and the total number of adults surveyed is 1423.

Step 5 :Therefore, the point estimate for $p, \hat{p}$, is $\frac{534}{1423}$.

Step 6 :Calculating this gives $\hat{p} = 0.3752635277582572$.

Step 7 :Rounding to three decimal places, the point estimate for $p, \hat{p}$, is $\boxed{0.375}$.

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Source: https://solvelyapp.com/problems/19006/

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