Statistics: Statistical Significance and Null Hypothesis

jlo2006
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Heres the problem:

When asked to explain the meaning of "statistically significant at the 0.05 level," a student says, "This means there is only probability 0.05 that the null hypothesis is true." Is this an essentially correct explanation of statistical significance? Explain.


Help please. Appreciated.
 
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Can you perhaps mention some of your thoughts as to what the answer might be?

If you are finding it difficult to answer that, try to answer this: what is the definition of stat. significance?

Reading this might help.
 
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He already posted the same question in the statistics forum.
 
How do you know it's a he? Jay-Lo? Hello?
 
Ahh... of course I assumed he meant his name to be pronounced with a soft j, like "halo," and all Halo aficionados are male.

No, I'm kidding, I didn't notice the name.
 
Regardless of gender, jlo2006 should not have cross-posted.
 
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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