Problem

Section 11.1
0 of 1 Point
Part 1 of 3
A survey of 2325 adults in a certain large country aged 18 and older conducted by a reputable polling organization found that 427 have donated blood in the past two years. Complete parts (a) through (c) below.
Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2).
(a) Obtain a point estimate for the population proportion of adults in the country aged 18 and older who have donated blood in the past two years.
\[
\hat{p}=\square
\]
(Round to three decimal places as needed.)
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Final Answer: The point estimate for the population proportion of adults in the country aged 18 and older who have donated blood in the past two years is \( \boxed{0.184} \).

Steps

Step 1 :A survey was conducted by a reputable polling organization on 2325 adults aged 18 and older in a certain large country. The survey found that 427 of these adults have donated blood in the past two years.

Step 2 :We are asked to obtain a point estimate for the population proportion of adults in the country aged 18 and older who have donated blood in the past two years.

Step 3 :The point estimate for the population proportion, denoted as \( \hat{p} \), is calculated by dividing the number of adults who have donated blood by the total number of adults surveyed.

Step 4 :Substituting the given values into the formula, we get \( \hat{p} = \frac{427}{2325} \).

Step 5 :Calculating the above expression, we get \( \hat{p} = 0.18365591397849462 \).

Step 6 :Rounding to three decimal places as needed, we get \( \hat{p} = 0.184 \).

Step 7 :Final Answer: The point estimate for the population proportion of adults in the country aged 18 and older who have donated blood in the past two years is \( \boxed{0.184} \).

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