Suppose that we want to estimate what percentage of all drivers exceed the 50 km/h speed limit on a certain stretch of road. (a) How large a sample will we need to be at least 99% confident that the error of our estimate, the sample percentage, is at most 3.5% ? (b) How large a sample will we need if we know that 20% of the drivers in a preliminary sample exceed the 50 km/h speed limit on that stretch of road.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Suppose that we want to estimate what percentage of all drivers exceed the
50 km/h speed limit on a certain stretch of road.
(a) How large a sample will we need to be at least 99% confident that the error
of our estimate, the sample percentage, is at most 3.5% ?
(b) How large a sample will we need if we know that 20% of the drivers in a
preliminary sample exceed the 50 km/h speed limit on that stretch of road.
Transcribed Image Text:Suppose that we want to estimate what percentage of all drivers exceed the 50 km/h speed limit on a certain stretch of road. (a) How large a sample will we need to be at least 99% confident that the error of our estimate, the sample percentage, is at most 3.5% ? (b) How large a sample will we need if we know that 20% of the drivers in a preliminary sample exceed the 50 km/h speed limit on that stretch of road.
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