One of the questions in the Pew Internet & American Life Project asked adults if they used the Internet at least occasionally (Pew website, October 23, 2012). The results showed that 454 out of 478 adults aged 18 - 29 answered Yes; 741 out of 833 adults aged 30 – 49 answered Yes; 1058 out of 1644 adults aged 50 and over answered Yes.
Question: Develop a point estimate of the proportion of adults aged 50 and over who use the Internet. (Round your answers to four decimal places.)
1058/1644 = ?
To develop a point estimate of the proportion of adults aged 50 and over who use the Internet, you need to calculate the sample proportion.
First, let's define some variables:
n = the sample size, which is the number of adults aged 50 and over (1644 in this case)
x = the number of adults aged 50 and over who answered "Yes" (1058 in this case)
The sample proportion (p̂) can be calculated by dividing the number of adults aged 50 and over who use the Internet (x) by the total sample size (n):
p̂ = x / n
Substituting the given values:
p̂ = 1058 / 1644
Using a calculator or performing the division, we get:
p̂ ≈ 0.6436
Therefore, the point estimate of the proportion of adults aged 50 and over who use the Internet is approximately 0.6436 (or 64.36%).