A newsgroup is interested in constructing a 95% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. [if the 544 randomly selected Americans surveyed, 33!\": were in favor of the initiative. Round answers to 4 decimal places where possible. a. With 95% confidence the proportion of all Americans who favor the new Green initiative is between C] and C]. b. If many groups of 544 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