I have a coworker who analyzed a data set with the goal of generating it's Cpk. Because the data set p-value was less than .05 for all calculated distributions and transformations, he selected a transform based on AD value and continued with the calculation. Understanding that the more appropriate next step would be to take a closer look at the data set and re-evaluate the analysis (might be binomial, etc.), mathematically what effect would the insignificant p-value have on the Cpk calculated? Does it invalidate the result?

Thank you!