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You are requested to design a survey of households, designed to measure the key variable (among...

You are requested to design a survey of households, designed to measure the key variable (among others) of Vehicle Kilometres of Travel (VKT) for each household. You are asked to collect sufficient data to permit you to estimate the average VKT per household to within ±4 percent at 90 percent confidence. From previous studies, you estimate that the average daily VKT per household is 36, and the variance in this statistic is 7454. The population of households from which the sample is to be drawn is 5 million. What sample size would you require to achieve this level of accuracy?
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Answer #1

the population variance is given

for 90% confidence

it is given that the margin of error has to be 4% of the average daily VKT per household, which is 36

4% of 36 =

To achieve this level of accuracy the sample size is 9728

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