Question: 21.24 The quick method. The quick method of Chapter 3 (pages 4344) uses p^1/n as a rough recipe for a 95% confidence interval for a

21.24 The quick method. The quick method of Chapter 3 (pages 43–44) uses p^±1/n as a rough recipe for a 95% confidence interval for a population proportion. The margin of error from the quick method is a bit larger than needed. It differs most from the more accurate method of this chapter when p^ is close to 0 or 1. An SRS of 500 motorcycle registrations finds that 68 of the motorcycles are Harley-Davidsons. Give a 95% confidence interval for the proportion of all motorcycles that are Harleys by the quick method and then by the method of this chapter. How much larger is the quick-method margin of error?

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