A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 558 randomly selected Americans surveyed, 407 were in favor of the initiative. Round answers to 4 decimal places where possible. a. With 90% confidence the proportion of all Americans who favor the new Green initiative is between C] and C]. b. If many groups of 558 randomly selected Americans were surveyed, then a different confidence interval would be produced from each group. About C] percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about C] percent will not contain the true population proportion. We wish to estimate what percent of adult residents in a certain county are parents. Out of 100 adult residents sampled, 21 had kids. Based on this, construct a 99% confidence interval for the proportion p of adult residents who are parents in this county. Express your answer in tri-inequality form. Give your answers as decimals, to three places. [3