I am attempting to investigate to what quantitative degree a physical theory agrees with observations of the phenomena it predicts (specifically, Fraunhofer theory).(adsbygoogle = window.adsbygoogle || []).push({});

I want to use the chi-squared test to produce some confidence levels in the measurements made in different sections of the experiment.

The chi-squared test, as far as I'm aware, is just like any other statistical test in that it requires both a null and an alternative hypothesis. I believe that these need to be quite specific in order to make valid conclusions.What I would like is a some advice as to how to proceed with wording these hypotheses. Currently I have:

H_{0}: No difference exists between the results expected from Fraunhofer theory and observations made of diffraction phenomena in the Fraunhofer regime.

H_{1}: The results expected from Fraunhofer theory and observations made of diffraction phenomena in the Fraunhofer regime disagree at a particular level of precision.

I'm a little unsure on the alternative hypothesis in particular. I'm not quite sure how to word it; essentially what we are expecting is that to some quantitative degree, such as 1 in 50, 1 in 100 etc. the measured results will not line up with the expected results. Any and all help will be much appreciated.

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# Formulating null and alternative hypotheses for a chi-squared test

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