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 531 randomly selected Americans surveyed, 432 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
and
.

b. If many groups of 531 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.