January 24, 2025 - *Note that some researchers prefer to always write the null hypothesis in terms of “no effect” and “=”. It would be fine to say that daily meditation has no effect on the incidence of depression and p1 = p2. The alternative hypothesis (Ha) is the other answer to your research question.

courses.lumenlearning.com › introstats1 › chapter › null-and-alternative-hypotheses

Null and Alternative Hypotheses | Introduction to Statistics

The null is not rejected unless the hypothesis test shows otherwise. The null statement must always contain some form of equality (=, ≤ or ≥) Always write the alternative hypothesis, typically denoted with Ha or H1, using less than, greater than, or not equals symbols, i.e., (≠, >, or <).

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Alternative hypothesis

alternative assumption to the null hypothesis

In statistical hypothesis testing, the alternative hypothesis is one of the proposed propositions in the hypothesis test. In general the goal of hypothesis test is to demonstrate that in the given condition, … Wikipedia

Wikipedia

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Alternative hypothesis - Wikipedia

October 6, 2025 - The statement that is being tested against the null hypothesis is the alternative hypothesis. Alternative hypothesis is often denoted as Ha or H1. In statistical hypothesis testing, to prove the alternative hypothesis is true, it should be shown that the data is contradictory to the null hypothesis.

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What is an Alternative Hypothesis For a Given Situation? | Statistics and Probability | Study.com

The opposite of greater than is "less than or equal to." Step 3: The alternative hypothesis is obtained by replacing the symbol in Step 1 with the symbol in Step 2 for the null hypothesis. The alternative hypothesis would be that the students' performance on exam scores will not improve after introducing the new textbook. ... A fruit distributor claims that their average package of fruit weighs 2.5 pounds. Write the alternative hypothesis for this scenario.

GeeksforGeeks

geeksforgeeks.org › mathematics › alternative-hypothesis-definition-types-and-examples

Alternative Hypothesis: Definition, Types and Examples - GeeksforGeeks

August 30, 2025 - When alternative hypotheses in mathematical terms, they always include an inequality (usually ≠, but sometimes < or >). When writing the alternate hypothesis, make sure it never includes an "=" symbol. To help you write your hypotheses, you can use the template sentences below.

Statistics LibreTexts

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8.1.1: Null and Alternative Hypotheses - Statistics LibreTexts

August 8, 2020 - However, be aware that many researchers (including one of the co-authors in research work) use = in the null hypothesis, even with > or < as the symbol in the alternative hypothesis. This practice is acceptable because we only make the decision to reject or not reject the null hypothesis.

Indeed

uk.indeed.com › career guide › career development › defining the alternative hypothesis, including examples

Defining the alternative hypothesis, including examples | Indeed.com UK

July 30, 2024 - Statisticians typically make a null hypothesis expecting it to be true based on historical information or other known facts. It's a no-change hypothesis, getting the expected outcome based on this historical information.The alternative hypothesis is essentially an alternative prediction of the null hypothesis.

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National University

resources.nu.edu › statsresources › hypothesis

Null & Alternative Hypotheses - Statistics Resources - LibGuides at National University

This is your answer to your research question. ... Null Hypothesis: H0: There is no difference in the salary of factory workers based on gender. Alternative Hypothesis: Ha: Male factory workers have a higher salary than female factory workers.

Uconn

researchbasics.education.uconn.edu › home › null and alternative hypotheses

Null and Alternative Hypotheses | Educational Research Basics by Del Siegle

September 5, 2015 - Converting research questions to hypothesis is a simple task. Take the questions and make it a positive statement that says a relationship exists (correlation studies) or a difference exists between the groups (experiment study) and you have the alternative hypothesis.

VEDANTU

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Alternative Hypothesis: Definition, Examples & Difference from Null Hypothesis

3 weeks ago - Example: “Does a new medicine ... hypothesis as “no effect” (e.g., H0: μ = μ0). Write the alternative as “there is an effect" using symbol H1 (e.g., H1: μ ≠ μ0)....

Statlect

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Alternative hypothesis | Explanation and examples

In this case, the rejection of the null hypothesis is interpreted as evidence that, most likely, ; the set of distributions is the set of all normal distributions with strictly positive mean. The choice between a one-tailed or a two-tailed test needs to be done in such a way that the interpretation of a rejection is always coherent with the alternative hypothesis.

Texas Gateway

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9.1 Null and Alternative Hypotheses | Texas Gateway

Ha—The alternative hypothesis: It is a claim about the population that is contradictory to H0 and what we conclude when we reject H0.

reddit.com › r/askstatistics › how do i frame null hypothesis and alternative hypothesis here?

r/AskStatistics on Reddit: How do I frame null hypothesis and alternative hypothesis here?

December 8, 2020 -

Hey guys,

I've just started self learning hypothesis testing and am getting confused about framing the null hypothesis and alternative hypothesis in this question.

Usually every question I came accross made more sense and had a defining point at which it should be considered high satisfaction and below which it would be low.

Best I could come up with is (H0 : score > 30) but just assuming everything above mean is high feels wrong cause there's nothing specified in the question.

So in case I come accross questions like this how to I approach framing the null hypothesis and alternative hypothesis?

Top answer

1 of 2

In words: H0: Group A and Group B have equal life satisfaction HA: Group A and Group B have different life satisfaction Which I would translate as H0: meanA = meanB HA: meanB =/= meanB So you'd have to find the CI for each group and see if they overlap. It's been a while (25 years) since I've done this kind of thing, so I might be wrong, but I don't think I am. edit: typo in HA!

2 of 2

Hypotheses are about population quantities. "score>30" is not of that form Null hypotheses should normally include an equality (otherwise you run into some issues with logic/interpretation) "had a defining point at which it should be considered high satisfaction and below which it would be low" is talking about a one sample test. This is clearly some kind of location comparison on two samples. However the question does not suggest which specific sort of population comparison might be of interest; you'd need to think about whether you are going to compare means or something else. Where does the question come from? [There's some issues with the question: "A research" is not correct English, "research" is effectively a mass noun, you can't enumerate it - either "Research was..." or "A piece of research was..." would work; "excel" should be capitalized; "justify with" is not correct English; the "with" could be omitted. There are some other issues as well, but those were the ones that bothered my enough to mention. The author needs a proofreader.]

Pressbooks

pressbooks-dev.oer.hawaii.edu › introductorystatistics › chapter › null-and-alternative-hypotheses

Null and Alternative Hypotheses – Introductory Statistics

July 19, 2013 - Always write the alternative hypothesis, typically denoted with Ha or H1, using less than, greater than, or not equals symbols, i.e., (≠, >, or <). If we reject the null hypothesis, then we can assume there is enough evidence to support the ...

Pressbooks

ecampusontario.pressbooks.pub › introstats › chapter › 8-2-null-and-alternative-hypotheses

8.2 Null and Alternative Hypotheses – Introduction to Statistics

September 1, 2022 - For example, [latex]H_0: \mu=5[/latex]. The alternative hypothesis is denoted [latex]H_a[/latex]. It is a claim about the population that is contradictory to the null hypothesis and is what we conclude is true when we reject [latex]H_0[/latex].

Statistics How To

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Alternate Hypothesis in Statistics: What is it? - Statistics How To

October 6, 2024 - You wish to support the claim that the repairs are actually much more expensive. This is the alternate hypothesis. Thus, we have: ... H1: μ ≥ 1000 (your claim) Now, suppose the repair contractor’s claim was that the mean repair cost for an electrical repair is at least $1200. In this case, we think that this is overinflated and that the repair costs are actually much lower. We can write:

EUPATI Toolbox

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Alternative hypothesis - EUPATI Toolbox

March 27, 2020 - In medicines development one might for example formulate the hypothesis that a new treatment for a disease is better than the existing standard of care treatment. If the new treatment is called ‘B’, and the standard of care treatment is called ‘A’ then the hypothesis states that ‘B’ ...

Sixsigma DSI

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Alternative Hypothesis: For Statistical Testing

July 4, 2025 - Two-Tailed (Non-Directional) Alternative Hypothesis · Two-tailed alternative hypotheses do not specify the direction of the expected effect. Instead, they simply suggest that a difference or effect exists without predicting whether it will be positive or negative. This approach proves more conservative but also more flexible in detecting unexpected results. Non-directional hypotheses work well in exploratory research where investigators want to detect any significant difference, regardless of direction.

Tamu

writingcenter.tamu.edu › writing-speaking-guides › hypotheses

Hypotheses - The University Writing Center

Topical Treatment A is less effective on average than Ingested Drug B for treating male pattern baldness.The null hypothesis is always treated as the main hypothesis, since it is the one being tested. So in writing up results, do not state that the alternative hypothesis was accepted or rejected.