Chi-square tests demonstrated

You use this phrase to introduce a discovery in a report or presentation. Usually, it is followed by the word that. For example: Chi-square tests demonstrated that coffee drinkers are more productive. You are setting the stage for a fact. Keep it at the start of your sentence to sound authoritative. It functions as a bridge between your hard work and your final answer. Don't worry, you don't need to be a math genius to say it. You just need to have the results ready.

This is your go-to phrase for university papers, business analytics, or medical reports. If you are presenting a slide deck to your boss about customer habits, this phrase makes you look very prepared. Use it when you want to sound objective and scientific. It’s perfect for when you need to end a debate with cold, hard numbers. Use it when the stakes are high and 'I think' just won't cut it.

Do not use this at a Friday night party. If you say, Chi-square tests demonstrated that you are my best friend, people will think you are a robot. It is way too heavy for casual chats. Avoid it in texts unless you are joking with a fellow nerd. Also, don't use it if you didn't actually run a statistical test. If you just looked at a chart and guessed, stick to the data suggests. Accuracy is key in the world of science.

In Western academia, the Chi-square test (developed by Karl Pearson) is a rite of passage. Almost every college student in social sciences or medicine has to learn it. It represents the shift toward 'evidence-based' everything. In English-speaking professional cultures, we love data. Being able to cite a specific test like this gives you immediate 'intellectual street cred.' It shows you follow the rules of logic and proof.

You might hear Chi-square analysis revealed or Results from the Chi-square test indicated. They all mean the same thing. Sometimes people shorten it to Chi-square results showed. If you want to sound even more fancy, you can say Statistical significance was confirmed via Chi-square testing. But honestly, demonstrated is the classic choice. It’s strong, clear, and very professional.