Find the sample size required for a margin of error of 3.0 percentage? points, and then find one for a margin of error of 1.5 percentage? points; for? both, use? 95% confidence. Find the ratio of the larger sample size to the smaller sample size. To reduce the error by? half, what do you need to multiply the sample size? by?
Use the shortcut formula where n represents the population size and m represents the margin of error in decimal? form, to find the necessary sample size required for a margin of error of percentage points.