In: Statistics and Probability
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 539 randomly selected Americans surveyed, 442 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 ____and _____ .
b. If many groups of 539 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.