Question

let p be the population proportion for the following condition. find the point estimates for p and q.
in a survey of 1724 adults from country a, 345 said that they were not confident that the food they eat in country a is safe.
the point estimate for p, (hat{p}), is 0.200.
(round to three decimal places as needed.)
the point estimate for q, (hat{q}), is (square).
(round to three decimal places as needed.)

Explanation:

Step1: Recall the relationship between $\hat{p}$ and $\hat{q}$

In a proportion context, $\hat{q}=1 - \hat{p}$.

Step2: Substitute the value of $\hat{p}$

Given $\hat{p}=0.200$, then $\hat{q}=1 - 0.200$.

Step3: Calculate $\hat{q}$

$\hat{q}=0.800$.

Answer:

$0.800$