8.89 Choosing sample sizes

For a single proportion, the margin of error of a confidence interval is largest for any given sample size and confidence level C when This led us to use for planning purposes. A similar result is true for the two-sample problem. The margin of error of the confidence interval for the difference between two proportions is largest when Use these conservative values in the following calculations, and assume that the sample sizes and have the common value . Calculate the margins of error of the 95% confidence intervals for the difference in two proportions for the following choices of . Present the results in a table and with a graph. Summarize your conclusions.