The table shows the results of a survey in which
400 adults from the? East,
400 adults from the? South,
400 adults from the? Midwest, and
400 adults from the West were asked if traffic congestion is a serious problem. Complete parts? (a) and? (b).
adults who say that traffic congestion is a serious problem
east 34%
South 31%
Midwest 27%
west 55%
?(a) Construct a? 99% confidence interval for the proportion of adults from the South who say traffic congestion is a serious problem.
The? 99% confidence interval for the proportion of adults from the South who say traffic congestion is a serious problem is ( ? , ? ) .?(Round to three decimal places as? needed.)
?(b) Construct a? 99% confidence interval for the proportion of adults from the East who say traffic congestion is a serious problem. Is it possible that these two proportions are? equal? Explain your reasoning.
The? 99% confidence interval for the proportion of adults from the East who say traffic congestion is a serious problem is ( ? , ? ) .?(Round to three decimal places as? needed.)
Is it possible that these two proportions are? equal?
Yes because the? 99% confidence interval for the South overlaps with the? 99% confidence interval for the East or
No because the? 99% confidence interval for the South does not overlap with the? 99% confidence interval for the east.