The table shows the results of a survey in which separate samples of 400 adults

Question

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 parts (a) and (b). Construct a 95% confidence interval for the proportion of adults from the South who say traffic congestion is a serious problem. The 95% confidence interval for the proportion of adults from the South who say traffic congestion is a serious problem is (, ). (Round to three decimal places as needed.)

Explanation / Answer

a. Here n=400 and p=0.31

Now for 95% CI z value =1.96

Hence E=Margin of error=z*sqrt(p(1-p)/n)=0.045

So CI=p+/-E=0.31+/-E=0.31+/-0.045=(0.265,0.355)

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