An environmental agency worries that many cars may be violating clean air emissions standards. The agency hopes to check a sample of vehicles in order to estimate the percentage with a margin of error of 5% and 95% confidence. To gauge the size of the problem, the agency first picks 40 cars and finds 8 with faulty emissions systems. How many should be sampled for a full investigation?

MATLAB: An Introduction with Applications
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An environmental agency worries that many cars may be violating clean air emissions standards. The agency hopes to check a sample of vehicles in order to estimate the percentage with a margin of error of 5% and 95% confidence. To gauge the size of the problem, the agency first picks 40 cars and finds 8 with faulty emissions systems. How many should be sampled for a full investigation?

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