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let p be the population proportion for the following condition. find th…

Question

let p be the population proportion for the following condition. find the point estimates for p and q.
of 934 children surveyed, 87 plan to join the armed forces in the future.
the point estimate for p, \\( \hat { p } \\), is 0.093.
(round to three decimal places as needed.)
the point estimate for q, \\( \hat { q } \\), is
(round to three decimal places as needed.)

Explanation:

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

We know that $\hat{q}=1 - \hat{p}$.

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

Given $\hat{p}=0.093$, then $\hat{q}=1 - 0.093$.

Step3: Calculate $\hat{q}$

$\hat{q}=1 - 0.093=0.907$.

Answer:

The point estimate for $q$, $\hat{q}$, is $0.907$.