The table to the right shows the results of a survey in which 400 adults from th

Question

The table to the right shows the results of a survey in which 400 adults from the East, 400 adults Adults who say that traffic congestion is from the South, 400 adults from the Midwest, and 400 adults from the West were asked if trafficserious problenm congestion is a serious problem. Complete parts (a) and (b) a 36% 32% 25% 56% uth dwest (a) Construct a 99% confidence interval for the proportion of adults from the East who say trafic congestion is a serious problem. The 99% confidence interval for the proportion o adults from the East who say traffic congestion is a serious problem s Round to three decimal places as needed) b) Construct a 99% confidence interval for the proportion of adults from the Midwest who say trafic congestion is a serious problem. Is it possible that these two proportions are eqal? Explain your reasoning The 99% confidence interval for the proportion of adults from the Midwest who say,fic congestion a serious problem is (Round to three decimal nlaces as needed Click to select your answer(s). Sign out 52542

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary confidence interval:
p : Proportion of successes
Method: Standard-Wald

99% confidence interval results:

99% confidence interval results:

Hence,

a) 99% confidence interval for east: (0.298, 0.422)

b) 99% confidence interval for midwest: (0.194, 0.306)

Proportion Count Total Sample Prop. Std. Err. L. Limit U. Limit p 144 400 0.36 0.024 0.2981801 0.4218199

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