Five hundred twelve (512) homes in a certain southern California community are r

Question

Five hundred twelve (512) homes in a certain southern California community are randomly surveyed to determine if they meet minimal earthquake preparedness recommendations. One hundred seventy-three (173) of the homes surveyed met the minimum recommendations for earthquake preparedness and 339 did not.

Find the confidence interval at the 90% confidence level for the true population proportion of southern California community homes meeting at least the minimum recommendations for earthquake preparedness. (Round your answers to three decimal places.)

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Explanation / Answer

here p=173/512=0.338

std error =(p(1-p)/n)1/2 =0.0209

for 90% CI; z=1.64485

hence confidence interval =mean +/- z*std error =0.304 ; 0.372

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