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 574 randomly selected Americans surveyed, 435 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 betweenand.

b.If many groups of 574 randomly selected Americans were surveyed, then a different confidence interval would be produced from each group. Aboutpercent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and aboutpercent will not contain the true population proportion.