How much variance in my p-value

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Nyasha
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So l have a nuclear counting system which follows a poisson distribution. I have taken 5 data sets consisting of 30 counts each and l have used them in a chi squared gof test to see if they follow a poisson distribution. For each data set my p-value has been changing. Initially it was 0.5 then 0.7, 08, 02, 0.3 Is this normal or is it a cause of worry ?
 
The p-value you get off the chi-square test will be different between datasets, that is normal. It is not normal for the reference p-value to change.
Consider: what does the p-value actually represent?