The null hypothesis was rejected

You use this when you have hard data to back you up. It is not just a gut feeling or a guess. You usually need a p-value lower than 0.05 to say this. In a sentence, you are the detective presenting the final clue. You are telling your audience that the results are not just a coincidence. Use it to sound precise, professional, and scientifically grounded.

This is the star of the show in academic papers. Use it in lab reports, thesis defenses, or data-heavy business meetings. If you are analyzing marketing trends, this phrase gives you instant authority. You can also use it jokingly with your nerdy friends. If a friend says they never win at games, but then they win five times, you can say the null hypothesis was rejected! It adds a bit of intellectual humor to the moment.

Do not use this for purely emotional or subjective topics. Saying the null hypothesis was rejected about your love for pizza sounds weird. Avoid it in very casual settings where people do not know statistics. It can make you sound a bit arrogant or robotic if used incorrectly. If there is no data involved, stick to 'I was right' or 'Look at that!'

This phrase comes from the mid-20th century world of formal statistics. It was popularized by thinkers like Ronald Fisher. In Western academia, it is the 'gold standard' for proving a point. It represents a culture that values skepticism and hard evidence over intuition. It is the language of the modern scientific method. It shows you respect the process of proving things properly.

You might hear we failed to reject the null hypothesis. That is the sad version meaning 'nothing interesting happened.' Another variation is the results reached statistical significance. People also say the null was overturned in less formal academic circles. Sometimes, researchers just say the p-value was significant. All of these point toward the same exciting discovery.