AP Statistics Help Will give Medal! Margin of Error/ Confidence Intervals:

For a single proportion the margin of error of a confidence interval is largest for any given sample size n and confidence level C when p-hat = 0.5. This led us to use p-hat = 0.5 for planning purposes. Use these conservative values in the following calculations, and assume that the sample sizes of n. Calculate the margins of error of the 99% confidence intervals for the following choices of n: 10, 30, 50, 100, 200, and 500. Present the results in a table. Summarize your conclusions.

Question

AP Statistics Help Will give Medal! Margin of Error/ Confidence Intervals:

For a single proportion the margin of error of a confidence interval is largest for any given sample size n and confidence level C when p-hat = 0.5. This led us to use p-hat = 0.5 for planning purposes. Use these conservative values in the following calculations, and assume that the sample sizes of n. Calculate the margins of error of the 99% confidence intervals for the following choices of n: 10, 30, 50, 100, 200, and 500. Present the results in a table. Summarize your conclusions.

anonymous · Answer

margin of error = critical value * SD. For a proportion, SD is given by 

$$\sigma = \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$$

Your critical value is where $P(Z < z^*) = \frac{1 + 99\%}{2}$.

anonymous · Answer

Thank you very much! I This helps a lot

anonymous · Answer

I just didn't know where things were supposed to go :)