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JEE Main 2026 Preparation: Question Papers, Solutions, Mock Tests & Strategy Unacademy » JEE Study Material » Mathematics » Null hypothesis

Null hypothesis

Unlike the alternate hypothesis, the null hypothesis (H0) is widely accepted as the truth; it is the polar opposite of it. Researchers work to reject, nullify, or disprove the null hypothesis, which stands for "no evidence."

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In this context, the word “null” refers to a widely accepted fact that researchers are attempting to disprove through research. The statement itself is not null (i.e. amounts to nothing), despite the fact that the result is! In order to avoid confusion.

Why do I need to put it through its paces? Why not just prove a different hypothesis?

Simply put, as a scientist, you are required to; it is an integral part of the scientific method and process. Science employs a slew of procedures to prove or disprove theories, ensuring that any new hypothesis is free of flaws before moving forward. The inclusion of both a null and an alternate hypothesis is one way to ensure that your research does not contain any errors. Example:

People used to believe that the world was flat, which was not so long ago.

hypotheses that are not true

H0 is the null hypothesis, which states that the world is flat.

The world is round, according to an alternate hypothesis.

To disprove the null hypothesis, several scientists, including Copernicus, set out to prove it wrong. This resulted in a final decision to reject null and accept an alternative, which was ultimately accepted. While the vast majority of people accepted it, those who did not founded the Flat Earth Society! What would have happened if Copernicus had not disproved the theory but had simply demonstrated the alternate theory instead? No one would have listened to him in the first place. It was necessary for him to first demonstrate that people’s assumptions were incorrect before they could be persuaded to change their minds.

Example of How to State the Null Hypothesis Problem:

A researcher believes that if knee surgery patients go to physical therapy twice a week (instead of three times), their recovery period will be significantly longer than it is now. The average recovery time for patients who have had knee surgery is 8.2 weeks.

the best way to express the null hypothesis

When it comes to evaluating patient outcomes, hypothesis testing is critical.

Step 1: Determine the hypothesis based on the problem at hand. It is common for the hypothesis to be hidden within a word problem, but it can also be a statement of what you expect to happen during the experiment. “I anticipate that the average recovery period will be greater than 8.2 weeks,” according to the hypothesis in the previous question.

Step 2: Convert the hypothesis into a mathematical equation. It’s important to remember that the average is sometimes written as

H1: 8.2 and above

H1 (The hypothesis) is written down in (somewhat) plain English as follows: 8 is greater than (or equal to) 8.2 on average.

Step 3. Describe what will happen if the hypothesis is not proven correct in Step 3. If the recovery time is not greater than 8.2 weeks, there are only two possibilities: the recovery time will be equal to 8.2 weeks or less than 8.2 weeks, depending on the circumstances.

H0: 8.2 H0: 8.2

That is H0 (the null hypothesis), which is expressed in English as follows: 8.2 (is less than or equal to) (is the average of)

Conclusion

Therefore it can be concluded that the scientific community believes that failing to include the null hypothesis in your research constitutes extremely poor practice. In the event that you set out to prove an alternate hypothesis without taking it into consideration, you are almost certainly setting yourself up for failure. At the very least, your experiment will almost certainly not be taken seriously.

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Frequently asked questions

Get answers to the most common queries related to the JEE Examination Preparation.

In research, what exactly is an alternative hypothesis?

Ans. An alternative hypothesis is one in which the researchers anticipate a difference (or an effect) between two or...Read full

What are the reasons for rejecting the null hypothesis?

Ans. We proceed on the assumption that the null hypothesis is correct until we have sufficient evidence to suggest t...Read full

What is the purpose of using the null hypothesis?

Ans. The null hypothesis is advantageous because it can be tested in order to determine whether or not there is a re...Read full

What does a null hypothesis look like in practice?

Ans. It is assumed by the null hypothesis that any kind of difference between the selected characteristics that you ...Read full

What is the null hypothesis in a statistical analysis?

Ans. Unlike the alternate hypothesis, the null hypothesis (H0) is widely accepted as the truth; it is the polar oppo...Read full

Ans. An alternative hypothesis is one in which the researchers anticipate a difference (or an effect) between two or more variables; that is, the observed pattern of data is not due to a chance occurrence, but is predicted by the researchers.

Ans. We proceed on the assumption that the null hypothesis is correct until we have sufficient evidence to suggest that it is incorrect. Following the completion of a hypothesis test, there are only two possible conclusions. It is acceptable to reject the null hypothesis when your p-value is less than or equal to your significance level. The evidence points in the direction of the alternative hypothesis.

Ans. The null hypothesis is advantageous because it can be tested in order to determine whether or not there is a relationship between two measured variables. It can tell the user whether the results obtained are the result of chance or whether they were obtained by manipulating a phenomenon.

Ans. It is assumed by the null hypothesis that any kind of difference between the selected characteristics that you observe in a set of data is due to chance. Consider this scenario: if the expected earnings for a gambling game are truly equal to zero, then any difference between the average earnings in the data and zero is the result of chance.

Ans. Unlike the alternate hypothesis, the null hypothesis (H0) is widely accepted as the truth; it is the polar opposite of it. Researchers work to reject, nullify, or disprove the null hypothesis, which stands for “no evidence.” In order to reject the null hypothesis, researchers must first come up with an alternate hypothesis, one that they believe explains a phenomenon in greater detail.

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