A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 575 randomly selected Americans surveyed, 357 were in favor of the initiative. Round answers to 4 decimal places where possible.

a. With 90% confidence the proportion of all Americans who favor the new Green initiative is between ------and -----.

b. If many groups of 575 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.