.3.23-T Question Help The table shows the results of a survey in which separate

Question

.3.23-T Question Help The table shows the results of a survey in which separate samples of 400 adults each from the East, South, Midwest, and West were asked if trafficAduits who say that traffic congestion congestion is a serious problem in their community. Complete parts (a) and Bad Traffic Congestion? is a serous problem East South Midwest 279 West 34% 31% 56% (a) Construct a 95% confidence interval for the proportion of adults from the Midwest who say traffic congestion is a serious problem. The 95% confidence interval for the proportion of adults from the Midwest who say traffic congestion is a serious problem is Round to three decimal places as needed.) Enter your answer in the edit fields and then click Check Answer part remaining

Explanation / Answer

a) n = 400

phat = 0.27

alpha = 0.05

z_{alpha/2} = z_{0.005} = 1.96

z_{alpha/2}*sqrt( phat(1-phat)/n ) = (1.96)*sqrt((0.27)(0.73)/(400)) = 0.045

phat - 0.0435< p < phat + 0.0435

0.484 < p < 0.516

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