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 \\( \square \\).
(round to three decimal places as needed.)

Explanation:

Step1: Calculate the point estimate for \( p \)

The formula for the point estimate of the population proportion \( p \) is \( \hat{p}=\frac{x}{n} \), where \( x \) is the number of successes (in this case, the number of children who plan to join the armed forces) and \( n \) is the sample size.
Here, \( x = 87 \) and \( n=934 \). So, \( \hat{p}=\frac{87}{934}\).

$$ \hat{p}=\frac{87}{934}\approx0.093 $$

Answer:

\( 0.093 \)