method of statistical inference
Wikipedia
en.wikipedia.org › wiki › Null_hypothesis
Null hypothesis
2 weeks ago - In general, any statement about the parameters describing a population can be a hypothesis (but not a statement about the sample). The test compares two hypotheses: a default null hypothesis (denoted H0) and its negation, the alternative hypothesis (H1). It is usually consistent with the research ...
Definition of termsHistoryModern origins and early controversyTechnical description of the null hypothesisPhilosophyEducationPrincipleGoals of null hypothesis testsChoice of the null hypothesisPerforming a frequentist hypothesis test in practiceNonparametric bootstrap hypothesis testingExamplesVariations and sub-classesNeyman–Pearson hypothesis testingCriticismAlternativesFurther reading
National University
resources.nu.edu › statsresources › hypothesis
Null & Alternative Hypotheses - Statistics Resources - LibGuides at National University
July 9, 2026 - Null Hypothesis: H0: Experience on the job has no impact on the quality of a brick mason’s work. Alternative Hypothesis: Ha: The quality of a brick mason’s work is influenced by on-the-job experience. ... Next: One-Tail vs. Two-Tail >> ... Doctoral Center Institutional Review Board Advanced Research Center Institutional Repository NU Commons
Null hypothesis and Alternative Hypothesis
Hi! So, yours is actually a sophisticated question that masquerades as a simple one, so I'll try to answer this in a way that conveys the concept while perhaps alluding to some of its problems. At its heart, the null hypothesis is a sort of "straw man" that is defined by a researcher at the beginning of an experiment that usually represents a state of affairs that would be expected to occur if the researcher's proposal were false. Note that a null hypothesis is entirely imaginary, and it has nothing to do with the actual state of the world. It is contrived, usually to show that the actual state of the world is inconsistent with the null hypothesis. Suppose a researcher is trying to determine whether the heights of men and women are different. A suitable null hypothesis might be that the difference of the two population averages (height of men and height of women) is equal to zero. Then the researcher would conduct his or her experiment by measuring the heights of many men and women. When it comes time to draw a statistical conclusion, he or she will compute the probability that the observed data (the set of heights) could have come from the null hypothesis (i.e., a world where there is no difference). This probability is called a "p-value". Conceptually, this is similar to a "proof by contradiction," in which we assert that, if the probability is very small that the data could have originated from the null hypothesis, it must not be true. This is what is meant by "rejecting the null hypothesis". It is different from a proof by contradiction because rejecting the null proves nothing, except perhaps that the null is unlikely to be the source of the observed data. It doesn't prove that the true difference is 5 inches, or 1 inch, or anything. Because of this, rejecting the null hypothesis is in NO WAY equivalent to accepting an alternative hypothesis. Usually, in the course of an experiment, we observe a result (such as the observed height difference, perhaps it is ~5 inches) that, once we reject, replaces the hypothesized value of 0 under the null. However, we DON'T know anything about the probability that our observed value is "correct", which is why we never say that we have "accepted" an alternative. I actually hesitate to discuss an "alternative" hypothesis because most researchers never state one and it doesn't matter for the purposes of null hypothesis significance testing (NHST). It is just the name given to the conclusion drawn by the researchers after they have rejected their null hypothesis. Philosophically, there is an adage that data can never be used to prove an assertion, only to disprove one. It includes an analogy about a turkey concluding that he is loved by his human family and is proven wrong upon being slaughtered on Thanksgiving. I'll include a link if I can find it. Now, think about this: The concept of rejecting a null hypothesis probably seems very reasonable as long as we are careful not to overinterpret it, and this is how NHST was performed for decades. But consider - what is the probability that the null hypothesis is true in the first place? In other words, how likely is it that the difference between mens' and womens' heights is equal to zero? I propose that the probability is exactly zero, and if you disagree then I will find a ruler small enough to prove me correct. The difference can never be equal to exactly zero (even though this is the "straw man" that our experiment refutes), so we are effectively testing against a hypothesis that can never be true. Rejecting a hypothesis we already know to be false tells us nothing important ("the data are unlikely to have come from this state that cannot be true"). And since every null hypothesis is imaginary, it is suggested that any null hypothesis can be rejected with enough statistical power (read:sample size). Often a "significant" result says more about a study's sample size than it does about the study's findings, even though the language used in papers/media suggests to readers that the findings are more "important" or "likely to be correct". This has, in part, led to a reproducibility crisis in the sciences and, for some, an undermining of subject-matter-experts' trust in the use of applied statistics. More on reddit.com
ELI5 - what is reject the null or do not reject the null?
In data science, null generally refers to the null hypothesis. Let's say we're doing an experiment with two groups: Group A and Group B. These groups receive two different diets and lose varying amounts of weight. The null hypothesis is the statement "There is no difference in lost weight between Group A and Group B." So, if the average weight loss is 10 pounds for both groups, we can clearly say that the null hypothesis is true. Now, let's say that A loses 10 pounds and B loses 11 pounds. If we're being honest, that's not really Tha big a difference. It could have just been luck, right? That's why data scientists use a variety of statistical methods to compare groups. I won't go into too much depth, but basically the methods used answer the question: "Given Group A's data and Group B's data, how likely is it that the treatments actually had the same effect?" If you feel confident that the data is different enough, you can "reject the null hypothesis." That basically means that you have enough evidence to say that the null hypothesis is wrong. More on reddit.com
Can someone explain null hypothesis?
Hypothesis: this is true Null: what I said is true, isn’t true. You either reject the null, or fail to reject the null. It’s like: H: + good job Ho: - not good job Reject the null: double negatives = positive (not good job is not true) p<.05 statistically significant Fail to reject the null: triple negative = too many negatives (not good job is true) p=3.49 not even close. You always want to reject the null, that means your study results were statistically significant! More on reddit.com
[Q] Question about choosing null and alternative hypotheses
The null is ALWAYS the opposite of what you want to prove. It is related to modus tollens. If A then B and Not B therefore not A. More on reddit.com
What is the difference between a null hypothesis and an alternative hypothesis?
The alternative hypothesis is the complement to the null hypothesis. The null hypothesis states that there is no effect or no relationship between variables, while the alternative hypothesis claims that there is an effect or relationship in the population.
It is the claim that you expect or hope will be true. The null hypothesis and the alternative hypothesis are always mutually exclusive, meaning that only one can be true at a time.
It is the claim that you expect or hope will be true. The null hypothesis and the alternative hypothesis are always mutually exclusive, meaning that only one can be true at a time.
simplypsychology.org
simplypsychology.org › research methodology › null hypothesis
What Is The Null Hypothesis & When To Reject It
What are some problems with the null hypothesis?
One major problem with the null hypothesis is that researchers typically will assume that accepting the null is a failure of the experiment. However, accepting or rejecting any hypothesis is a positive result. Even if the null is not refuted, the researchers will still learn something new.
simplypsychology.org
simplypsychology.org › research methodology › null hypothesis
What Is The Null Hypothesis & When To Reject It
What’s the difference between a research hypothesis and a statistical hypothesis?
A research hypothesis is your proposed answer to your research question. The research hypothesis usually includes an explanation (“x affects y because …”). · A statistical hypothesis, on the other hand, is a mathematical statement about a population parameter. Statistical hypotheses always come in pairs: the null and alternative hypotheses. In a well-designed study, the statistical hypotheses correspond logically to the research hypothesis.
scribbr.com
scribbr.com › home › null and alternative hypotheses | definitions & examples
Null & Alternative Hypotheses | Definitions, Templates & Examples
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What is a Null Hypothesis? (4 Minute Easy Explanation) - YouTube
10:57
The Null Hypothesis and Research Hypothesis - YouTube
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What's a null hypothesis? // How to write a null hypothesis - YouTube
03:45
Null Hypothesis | Definition & Examples - Video | Study.com
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Null hypothesis explained - YouTube
Scribbr
scribbr.com › home › null and alternative hypotheses | definitions & examples
Null & Alternative Hypotheses | Definitions, Templates & Examples
January 24, 2025 - The null and alternative hypotheses are two competing claims that researchers weigh evidence for and against using a statistical test: Null hypothesis (H0): There’s no effect in the population. Alternative hypothesis (Ha or H1): There’s an effect in the population. The effect is usually the effect of the independent variable on the dependent variable.
Optimizely
optimizely.com › optimization-glossary › null-hypothesis
Null hypothesis
June 21, 2026 - Risk management: By requiring evidence to reject the null hypothesis, this approach helps researchers avoid making false claims and protects against concluding that effects exist when they don't. The null hypothesis works within a framework of interconnected statistical concepts. When you create a null hypothesis, you simultaneously define the alternative hypothesis which states there is a significant difference or relationship between your variables and typically represents what you hope to prove.
SciSpace
scispace.com › resources › null-hypothesis-in-research
Importance of Null Hypothesis in Research
February 24, 2025 - Null hypothesis testing, a common statistical method, relies on comparing observed data to what would be expected under the assumption of no effect. This statistical scrutiny is integral to drawing valid conclusions. The null hypothesis sharpens the focus of the research objectives.
Simply Psychology
simplypsychology.org › research methodology › null hypothesis
What Is The Null Hypothesis & When To Reject It
5 days ago - It is a default position that your research aims to challenge or confirm. There is no significant difference in weight loss between individuals who exercise daily and those who do not. We reject the null hypothesis when the data provide strong enough evidence to conclude that it is likely incorrect.
Statistics How To
statisticshowto.com › home › probability and statistics topics index › null hypothesis definition and examples, how to state
Null Hypothesis Definition and Examples, How to State - Statistics How To
October 6, 2024 - The word “null” in this context means that it’s a commonly accepted fact that researchers work to nullify. It doesn’t mean that the statement is null (i.e. amounts to nothing) itself! (Perhaps the term should be called the “nullifiable hypothesis” as that might cause less confusion).
Reddit
reddit.com › r/askstatistics › null hypothesis and alternative hypothesis
r/AskStatistics on Reddit: Null hypothesis and Alternative Hypothesis
January 5, 2021 -
Hey! Can someone explain to me in simple terms the definition of null hypothesis? If u can use an example it would be great! Also if we reject the null hypothesis does it mean that the alternative hypothesis is true?
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Hi! So, yours is actually a sophisticated question that masquerades as a simple one, so I'll try to answer this in a way that conveys the concept while perhaps alluding to some of its problems. At its heart, the null hypothesis is a sort of "straw man" that is defined by a researcher at the beginning of an experiment that usually represents a state of affairs that would be expected to occur if the researcher's proposal were false. Note that a null hypothesis is entirely imaginary, and it has nothing to do with the actual state of the world. It is contrived, usually to show that the actual state of the world is inconsistent with the null hypothesis. Suppose a researcher is trying to determine whether the heights of men and women are different. A suitable null hypothesis might be that the difference of the two population averages (height of men and height of women) is equal to zero. Then the researcher would conduct his or her experiment by measuring the heights of many men and women. When it comes time to draw a statistical conclusion, he or she will compute the probability that the observed data (the set of heights) could have come from the null hypothesis (i.e., a world where there is no difference). This probability is called a "p-value". Conceptually, this is similar to a "proof by contradiction," in which we assert that, if the probability is very small that the data could have originated from the null hypothesis, it must not be true. This is what is meant by "rejecting the null hypothesis". It is different from a proof by contradiction because rejecting the null proves nothing, except perhaps that the null is unlikely to be the source of the observed data. It doesn't prove that the true difference is 5 inches, or 1 inch, or anything. Because of this, rejecting the null hypothesis is in NO WAY equivalent to accepting an alternative hypothesis. Usually, in the course of an experiment, we observe a result (such as the observed height difference, perhaps it is ~5 inches) that, once we reject, replaces the hypothesized value of 0 under the null. However, we DON'T know anything about the probability that our observed value is "correct", which is why we never say that we have "accepted" an alternative. I actually hesitate to discuss an "alternative" hypothesis because most researchers never state one and it doesn't matter for the purposes of null hypothesis significance testing (NHST). It is just the name given to the conclusion drawn by the researchers after they have rejected their null hypothesis. Philosophically, there is an adage that data can never be used to prove an assertion, only to disprove one. It includes an analogy about a turkey concluding that he is loved by his human family and is proven wrong upon being slaughtered on Thanksgiving. I'll include a link if I can find it. Now, think about this: The concept of rejecting a null hypothesis probably seems very reasonable as long as we are careful not to overinterpret it, and this is how NHST was performed for decades. But consider - what is the probability that the null hypothesis is true in the first place? In other words, how likely is it that the difference between mens' and womens' heights is equal to zero? I propose that the probability is exactly zero, and if you disagree then I will find a ruler small enough to prove me correct. The difference can never be equal to exactly zero (even though this is the "straw man" that our experiment refutes), so we are effectively testing against a hypothesis that can never be true. Rejecting a hypothesis we already know to be false tells us nothing important ("the data are unlikely to have come from this state that cannot be true"). And since every null hypothesis is imaginary, it is suggested that any null hypothesis can be rejected with enough statistical power (read:sample size). Often a "significant" result says more about a study's sample size than it does about the study's findings, even though the language used in papers/media suggests to readers that the findings are more "important" or "likely to be correct". This has, in part, led to a reproducibility crisis in the sciences and, for some, an undermining of subject-matter-experts' trust in the use of applied statistics.
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The null hypothesis (Ho) signifies no change. The alternative hypothesis (Ha) signifies a change. If we reject the null, we have evidence for the alternative hypothesis. This doesn’t mean that it’s true just that within this study, we have evidence to support the alternative hypothesis. If we fail to reject the null (we don’t use the word accept) then there is not enough evidence supporting the alternative hypothesis. Example: I’m wondering if smoking impacts lung function using a spirometry test that measures forced exploratory volume per second (FEV1). Ho: There is no difference in FEV1 between smokers vs non smokers Ha: There is a difference in FEV1 between smokers and non smokers. Rejecting or failing to reject the null aka Ho will involve more steps than just analyzing the mean FEV1 between the two groups, so let’s stop here before we get into more hypothesis testing.
BYJUS
byjus.com › maths › null-hypothesis
Null Hypothesis Definition
April 25, 2022 - The principle followed for null hypothesis testing is, collecting the data and determining the chances of a given set of data during the study on some random sample, assuming that the null hypothesis is true. In case if the given data does not face the expected null hypothesis, then the outcome will be quite weaker, and they conclude by saying that the given set of data does not provide strong evidence against the null hypothesis because of insufficient evidence. Finally, the researchers tend to reject that.
Biology Online
biologyonline.com › home › null hypothesis
Null hypothesis - Definition and Examples - Biology Online Dictionary
June 16, 2022 - The null hypothesis suggests that there is no significant or statistical relationship. The relation can either be in a single set of variables or among two sets of variables. Most people consider the null hypothesis true and correct. Scientists work and perform different experiments and do a variety of research so that they can prove the null hypothesis wrong or nullify it.
Hospitality
hospitality.institute › mha901 › null-hypothesis-concepts-applications
Understanding the Null Hypothesis: Concepts and Applications | Hospitality.Institute
December 14, 2025 - The null hypothesis is crucial because it allows researchers to apply statistical tests to assess whether observed results are due to random chance or represent a true effect. Essentially, the null hypothesis assumes that any observed difference in data is just due to randomness, not a significant pattern or causal relationship.
Study.com
study.com › psychology courses › psychology 105: research methods in psychology
Null Hypothesis | Definition & Examples - Lesson | Study.com
January 5, 2016 - Then, further information is gathered based on north vs. south facing windows and plant growth, before formulating the hypothesis. After researching the topic, an alternative hypothesis can be formed based on the knowledge gleaned on the topic; for example, north facing plants grow at faster rate than south facing plants. The null hypothesis is that the direction of plants does not affect rate of growth.
National Library of Medicine
nlm.nih.gov › oet › ed › stats › 02-700.html
Hypotheses - Finding and Using Health Statistics - NIH
In statistical analysis, two hypotheses are used. The null hypothesis, or H0, states that there is no statistical significance between two variables. The null is often the commonly accepted position and what scientists seek to find evidence against.

