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 585 randomly selected Americans
surveyed, 367 were in favor of the initiative.
a. With 95% confidence the proportion of all Americans who favor the new Green initiative is
between
and
b. If many groups of 585 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.