Question

a survey of 2293 adults in a certain large country aged 18 and older conducted by a reputable polling organization found that 404 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 } = 0.176 \\) (round to three decimal places as needed.) (b) verify that the requirements for constructing a confidence interval about \\( p \\) are satisfied the sample a simple random sample, the value of is which is less than or equal to 5% of the (round to th

Explanation:

Step1: Recall the formula for point - estimate of population proportion

The formula for the point - estimate of the population proportion \(\hat{p}\) is \(\hat{p}=\frac{x}{n}\), where \(x\) is the number of successes (in this case, the number of people who donated blood) and \(n\) is the sample size.

Step2: Identify the values of \(x\) and \(n\)

Given that \(x = 404\) (number of adults who donated blood) and \(n=2293\) (sample size of adults surveyed).

Step3: Calculate \(\hat{p}\)

$$ \hat{p}=\frac{404}{2293}\approx0.176 $$

Answer:

\(\hat{p} = 0.176\)