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, Mideast 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 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.)

Explanation / Answer

here proportion p=0.25 and n=400 (pls check if p=0.25 , cause inn picture it was a little blurry)

hence std error =(p(!-p)/n)1/2 =0.022

for 95% CI, z=1.96

hence confidence interval =estimated proportion -/+ z*std error =0.208 ; 0.292

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