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.