[Question]How to find lower bound for this exercise

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Homework Statement



Apply the Central limit theorem to evaluate approximately the lower bound for the probability that the difference between the relative frequency p^ and p is less than 0.01, if n = 4500

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This exercise do not give me the confidence interval? What function can help me solve this problem

The Attempt at a Solution


I think in this problem, i will choose random p^, p and the different between them is 0.01 => find approximately Za/2 => i have lower bound
 
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It would be a good idea to start by stating the "central limit theorem". That might give you some ideas.
 
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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