[See Steps] A weather service office has 20 thermographs scattered over a wide geographic area. The calibration on these instruments is checked periodically,
Question: A weather service office has 20 thermographs scattered over a wide geographic area. The calibration on these instruments is checked periodically, but since travel is expensive, a random sample of only n=5 thermographs is checked on any one day. Suppose the 5 checked on a particular day show one to be out of calibration. Estimate the proportion, among the 20, out of calibration and place a two-standard-deviation bound on the error of estimation.
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