Calculating P-value from the chi-square test?

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How do we calculate the P-value from the chi-square test? Is their some formula for doing so? I want to do it by hand and not by some online calculator or application.
 
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You integrate over the relevant range of the probability density function.
 
Following Number Nine's advice use a computer software package or look on the internet for an actual calculator. Google returns:

http://www.stat.tamu.edu/~west/applets/chisqdemo.html
 
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