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A newsgroup is interested in constructing a 99% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 570 randomly selected Americans surveyed, 377 were in favor of the initiative. Round answers to 4 decimal places where possible. a. With 99% confidence the proportion of all Americans who favor the new Green initiative is between C] and C]. b. If many groups of 570 randomly selected Americans were surveyed, then a different confidence interval would be produced from each group. About E 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