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. Of the 535 randomly selected Americans surveyed, 336 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 :1 and C]. b. If many groups of 535 randomly selected Americans were surveyed, then a different confidence interval would be produced from each group. About :1 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