# Interpreting a chi-square test

## Homework Statement

Hi everybody! In the context of a physics experiment about radioactivity, I am asked to perform two distributions (poisson and normal) and run a chi-square test for both of them in order to define which one is the most adapted to the histogram (see attached picture).

## Homework Equations

$\chi^2 = \sum \frac{(k_j(x) -n \cdot P_j)^2}{n \cdot P_j}$

## The Attempt at a Solution

So I've used the equation above and got for the Poisson distribution $\chi^2 = 13.992$. How do I interpret this result? I've got 11 degrees of freedom (13 bins - 1 - 1 parameter) so I looked in that table: http://passel.unl.edu/Image/Namuth-CovertDeana956176274/chi-sqaure distribution table.PNG
and I see that $\alpha \approx .25$. What does that mean? Is that good/bad? With this calculator: http://stattrek.com/online-calculator/chi-square.aspx
I've got for p-value .77, which seems to be $1- \alpha$. I'm just not sure just what to think about those numbers.

Julien.

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