Binomial or Normal: Population Proportion Testing

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Homework Statement


This involve testing population proportion. (either small or big sample) this question is done by my lecturer by using binomial , i am wondering could it be done using normal distribution? because the np is 20(0.45) = 9 which is greater than 5 , https://www.flickr.com/photos/110120...6/15432962168

Homework Equations

The Attempt at a Solution

 
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werson9339 said:

Homework Statement


This involve testing population proportion. (either small or big sample) this question is done by my lecturer by using binomial , i am wondering could it be done using normal distribution? because the np is 20(0.45) = 9 which is greater than 5 , https://www.flickr.com/photos/110120...6/15432962168

Homework Equations

The Attempt at a Solution


Post the problem by typing it directly; I cannot open your link---I get a bad link message. Anyway, there are good reasons for NOT posting images; it is discouraged (although not outright forbidden) by PF. Read the pinned post 'Guidelines for students and helpers', by Vela.
 
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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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