Question

A sample proportion of 0.18 is found. To determine the margin of error for this statistic, a simulation of 100 trials is run, each with a sample size of 50 and a point estimate of 0.18.

The minimum sample proportion from the simulation is 0.28, and the maximum sample proportion from the simulation is 0.40.

What is the margin of error of the population proportion using an estimate of the standard deviation?

Answer 1

±0.04

Explanation:

From the Empirical Rule, we can estimate the range as being 6 standard deviations wide. Therefore, the standard deviation is:

σ = (0.40 - 0.28) / 6

σ = 0.02

The margin of error is ±2σ, so:

ME = ±0.04