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In: Statistics and Probability

During a recent 24 hour period, on a particular stretch of freeway, the Highway Patrol issued...

During a recent 24 hour period, on a particular stretch of freeway, the Highway Patrol issued 426 tickets, of which 63 went to drivers of red cars.

a.Find a 95% confidence interval for the proportion of tickets went to drivers of red cars. b.Based on the preliminary survey, determine how large a sample size is needed in order to estimate p to within 0.01 with 95% confidence level. c.Use a 5% significant level, a researcher for Red Cars of America wants to use the random sample of 426 tickets to see if there is strong evidence to support the idea that an unusually high percentage of tickets go to the drivers of red card. Approximately 11% of the cars on the roads are red in color.

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