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 in their community. Complete parts (a) and (b). (a) Construct a 99% confidence interval for the proportion of adults from the Midwest who say traffic congestion is a serious problem. A 99% confidence interval for the population proportion p is ModifyingAbove p with caret plus Upper EpE

Explanation / Answer

The sample proprtion is p^=400/(400+400+400+400)=0.25

THe 99% confidence interval is:

p^+/-z(0.99)*root over p(1-p)/n

=0.25+/-2.58*root over 0.25*(1-0.25)/1600

=0.25+/-0.03

=(0.22,0.28)

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