Question

Let p be the population proportion for the following condition. Find the point estimates for p and q . A study of 4430 adults from country A, 2368 think mainstream media is more interested in making the money then telling the truth

Answer 1

The point estimate of the population proportion p is approximately 0.5348, and its complement q is approximately 0.4652, based on a study of 4430 adults where 2368 believe that mainstream media prioritizes making money over telling the truth.

Step-by-step explanation:

To find the point estimates for the population proportion p and its complement q (where q = 1 - p), we use the sample data provided. Given a study of 4430 adults where 2368 believe that mainstream media is more interested in making money than telling the truth, we can calculate the sample proportion p' as follows:

1. Calculate p' (the point estimate for p): p' = x/n, where x is the number of 'successes' and n is the sample size. In our case: p' = 2368/4430 ≈ 0.5348.
2. To find q', the point estimate for q: q' = 1 - p'. So, q' = 1 - 0.5348 ≈ 0.4652.

Therefore, the point estimate for the proportion of adults from country A who think the mainstream media is more interested in making money than telling the truth is approximately 0.5348, and the point estimate for the complement is 0.4652.