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Problem 6 A state's environmental agency worries that many cars may be violating clean air emis- sions standards. The agency hopes to check a sample

Problem 6 A state's environmental agency worries that many cars may be violating clean air emis- sions standards. The agency hopes to check a sample of vehicles in order to estimate that percentage with a margin of error of 3% and 90% confidence. To gauge the size of the problem, the agency first picks 70 cars and finds 8 with faulty emissions systems. How many should be sampled for a full investigation?

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