Question

A researcher is trying to decide how many people to survey which of the following sample says will have a smallest margin of error

Answer 1

To estimate the proportion of college students who voted in the 2012 presidential election with 95% confidence and a margin of error no greater than 5%, we can use the error bound formula to calculate the required sample size.

Step-by-step explanation:

In order to estimate the true proportion of college students who voted in the 2012 presidential election with 95 percent confidence and a margin of error no greater than 5 percent, we need to calculate the required sample size. The error bound formula can be used for this purpose.

The formula for calculating the required sample size, when a specific margin of error is desired, is:

n = (Z^2 * p * (1-p)) / (E^2)

Where:

• n is the required sample size
• Z is the Z-score corresponding to the desired confidence level (e.g., for 95% confidence, Z = 1.96)
• p is the estimated proportion of college students who voted in the 2012 presidential election
• E is the desired margin of error (0.05 in this case)