I am using ChiSquaredDistributionImpl, but I am not confident I am
doing it correctly.

I've calculated the "observed" value (to compare to the critical
value) and the degrees of freedom.
I create the impl like so:
ChiSquaredDistributionImpl chiSquaredDistributionImpl = new
ChiSquaredDistributionImpl(degreesOfFreedom);
double chiSquareCriticalValue =
chiSquaredDistributionImpl.cumulativeProbability(degreesOfFreedom);

but something does seem quite right.
For one thing, I haven't specified a confidence interval for the
critical value, i.e. 95%? 98%?

Is there an example of how to do this?

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