A sample of 100 components is drawn, and a 95% confidence interval for the proportion defective specifies this proportion to within ±0.06. To get a more precise estimate of the number defective, the sample size will be increased to 400, and the confidence interval will be recomputed. What will be the approximate width of the new confidence interval?
i. ±0.015
ii. ±0.03
iii. ±0.06
iv. ±0.12
v. ±0.24
(ii) ±0.03. The original confidence has width 
The new confidence interval has width 
So the width of the new confidence interval is half that of the old.
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