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). (a) 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) Sample proportion = 0.32

Margin of error = 1.960*Sqrt(0.32*0.68/400) = 0.045714

95% Interval

(0.32-0.045714, 0.32+0.045714)

= (0.274, 0.366)

So, 95% Interval is (0.274, 0.366)

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