Interpolation methods are used to estimate heights above sea level for locations

Question

Interpolation methods are used to estimate heights above sea level for locations where direct measurements are unavailable. In an article, a weighted-average method of interpolation for estimating heights from GPS measurements is evaluated. The method made "large" errors (errors whose magnitude was above a commonly accepted threshold) at 26 of the 72 sample test locations. Find a 68% confidence interval for the proportion of locations at which this method will make large errors. Round your final answers to three decimal places. The 68% confidence interval is ().

Explanation / Answer

here p=26/72 =0.3611 ; n=72

std error =(p(1-p)/n)1/2 =0.0566

for 68% CI, z=0.9945

hence confidence interval =p+/- z*std error =0.305 ; 0.417

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