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 566 randomly selected Americans surveyed, 383 were in favor of the initiative. a. Round your answer to 2 decimal places: With 90% confidence the proportion of all Americans who favor the new Green initiative is between and b. If many groups of 566 randomly selected Americans were surveyed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about percent will not contain the true population proportion.