What proportion is defective, with 99% confidence interval

rogo0034
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Homework Statement



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Homework Equations





The Attempt at a Solution

 
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Not entirely sure how to set this up as I'm used to comparing a population with sample statistics. This seems as if it would simplify things, though in stats, I've found that simplicity only makes you second guess yourself. That's where I'm at. Any Ideas? advice?
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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