Question

A social media survey found that 75\% of parents are "triends" with their children on a certain online networking site. A random sample of 150 parents was solected. Complote parts a through d below. a. Calculate the standard errer of the proportion σ

D
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= (Round to four docimal places as noodod.)

Answer 1

To calculate the standard error of the proportion, use the formula σ_p = sqrt(p(1-p)/n), where σ_p is the standard deviation of the proportion, p is the proportion (in decimal form), and n is the sample size.

Step-by-step explanation:

To calculate the standard error of the proportion, first we need to find the standard deviation of the proportion. The formula for the standard deviation of the proportion is:

σp = sqrt(p(1-p)/n)

where σp is the standard deviation of the proportion, p is the proportion (in decimal form), and n is the sample size.

Given that the proportion is 0.75 and the sample size is 150, we can substitute these values into the formula:

σp = sqrt(0.75(1-0.75)/150) ≈ 0.0326

So, the standard error of the proportion is approximately 0.0326.