write a report about chi$-$square test Instructions:

Report Content: Your report should commence with an overview of the topic, the theoretical background of the topic, including mathematical formulas.

In$-$depth Analysis: The report should delve into the selected topic, providing a detailed exploration that encompasses various aspects. It should incorporate practical data examples where the chosen topic is applied.

Key Questions: Address the following key questions specific to your topic: Where is this analysis commonly used? How is it utilized? Why is it preferred in certain scenarios? Which types of data are suitable for this analysis?

Graphical Representation: Include relevant graphs, histograms, or visualizations that effectively demonstrate the method being studied.

Report Length: Your report should consist of a minimum of $4$ pages and should not exceed a maximum of $10$ pages.