SOLUTION: 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 traffic congestion is a ser

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Question 1043438: 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 traffic congestion is a serious problem in their community. Complete part​ (a)
East 36%
South 33%
Midwest 25%
West 55%

​(a) Construct a​ 95% confidence interval for the proportion of adults from the East who say traffic congestion is a serious problem.
The​ 95% 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.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
CI interval for 95% is z*sqrt{ (p)*(1-p)/n}
That is 1.96*sqrt {(0.36)(0.64)/400}
'That is 1.96 sqrt (0.000576)=1.96*0.024=0.047
The interval is 0.36+/-0.047, or (0.313,0.407)