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 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). (a) Construct a 99% confidence interval for the proportion of adults from the West who say traffic congestion is a serious problem The 99% confidence interval for the proportion of adults from the West who say traffic congestion is a serious problem is () (Round three decimal places as needed.) (b) Construct a 99% confidence interval for the proportion of adult from the South who say traffic congestion is a serious problem. Is it possible that these two proportions are equal Explain your reasoning

Explanation / Answer

west -

p^ = 0.56

n = 400

z = 2.576 for 99 % confidence level

hence Confidence interval is

(0.56 - 2.576 * sqrt(0.56*0.44/400) , (0.56 + 2.576 * sqrt(0.56*0.44/400)

=(0.496065,0.6239346)

=(0.496,0.624)

b) for South

p^ = 0.33

Confidence interval is

(0.33 - 2.576 * sqrt(0.33*0.67/400) , (0.33 + 2.576 * sqrt(0.33*0.67/400)

=(0.26943660,0.3905633)

=(0.269,0.391)

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