If we have a sample size of 100 and a population proportion of 0.10,we can approximate the sampling distribution of $\hat { p }$ with a normal distribution.

Question

Quizplus · Accepted Answer

Given the sample size (n = 100) and the population proportion (p = 0.10), we can use the normal approximation to the sampling distribution of $\hat{p}$ if the conditions np ≥ 10 and n(1-p) ≥ 10 are met. Here, np = 100*0.10 = 10 and n(1-p) = 100*0.90 = 90, both of which satisfy the conditions, allowing for the approximation.

If We Have a Sample Size of 100 and a Population