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Statistics LibreTexts
stats.libretexts.org › campus bookshelves › las positas college › math 40: statistics and probability › 8: hypothesis testing with one sample › 8.1: steps in hypothesis testing
8.1.1: Null and Alternative Hypotheses - Statistics LibreTexts
August 8, 2020 - They are "reject \(H_0\)" if the sample information favors the alternative hypothesis or "do not reject \(H_0\)" or "decline to reject \(H_0\)" if the sample information is insufficient to reject the null hypothesis. \(H_{0}\) always has a symbol with an equal in it.
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Pressbooks
pressbooks-dev.oer.hawaii.edu › introductorystatistics › chapter › null-and-alternative-hypotheses
Null and Alternative Hypotheses – Introductory Statistics
July 19, 2013 - 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 <).
Discussions

How do I frame null hypothesis and alternative hypothesis here?
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! More on reddit.com
🌐 r/AskStatistics
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December 8, 2020
[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
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April 9, 2023
People also ask

What are null and alternative hypotheses?
Null and alternative hypotheses are used in statistical hypothesis testing. The null hypothesis of a test always predicts no effect or no relationship between variables, while the alternative hypothesis states your research prediction of an effect or relationship.
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scribbr.com
scribbr.com › home › null and alternative hypotheses | definitions & examples
Null and Alternative Hypotheses | Definitions & Examples
Why is the null hypothesis important?
The importance of the null hypothesis is that it provides an approximate description of the phenomena of the given data. It allows the investigators to directly test the relational statement in a research study.
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byjus.com
byjus.com › maths › null-hypothesis
Null Hypothesis Definition
What symbols are used to represent alternative hypotheses?
The alternative hypothesis is often abbreviated as Ha or 1. When the alternative hypothesis is written using mathematical symbols, it always includes an inequality symbol (usually ≠, but sometimes &lt; or &gt;).
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scribbr.com
scribbr.com › home › null and alternative hypotheses | definitions & examples
Null and Alternative Hypotheses | Definitions & Examples
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Scribbr
scribbr.com › home › null and alternative hypotheses | definitions & examples
Null and Alternative Hypotheses | Definitions & Examples
January 24, 2025 - When the alternative hypothesis is written using mathematical symbols, it always includes an inequality symbol (usually ≠, but sometimes < or >). What’s the difference between a research hypothesis and a statistical hypothesis?
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Lumen Learning
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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Tallahassee State College
tsc.fl.edu › media › divisions › learning-commons › resources-by-subject › math › statistics › Claim-and-Hypothesis.pdf pdf
Identifying the Claim and Setting up Hypothesis for µ or π STA 2023 & 2122
the claim that the proportion is less than 2%, the symbol for the Alternative Hypothesis will be · <. The opposite symbol will be used for the Null Hypothesis.
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BYJUS
byjus.com › maths › null-hypothesis
Null Hypothesis Definition
April 25, 2022 - It is represented by H1 or Ha. 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.
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Wikipedia
en.wikipedia.org › wiki › Null_hypothesis
Null hypothesis - Wikipedia
3 weeks ago - Symbols may include ... A statistical significance test starts with a random sample from a population. If the sample data are consistent with the null hypothesis, then you do not reject the null hypothesis; if the sample data are inconsistent with the null hypothesis, then you reject the null hypothesis and conclude that the alternative hypothesis is true.
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Slideshare
slideshare.net › home › data & analytics › null and alternative hypothesis.pptx
NULL AND ALTERNATIVE HYPOTHESIS.pptx
EXAMPLES-  The followingare some examples of null hypothesis:  If the hypothesis is that “the consumption of a particular medicine reduces the chances of heart arrest”, the null hypothesis will be “the consumption of the medicine doesn’t reduce the chances of heart arrest.”  If the hypothesis is that, “If random test scores are collected from men and women, does the score of one group differ from the other?” a possible null hypothesis will be that the mean test score of men is the same as that of the women.  H0: µ1= µ2  H0= null hypothesis µ1= mean score of men µ2= mean score of women ... ALTERNATIVE HYPOTHESIS  Analternative hypothesis is a statement that describes that there is a relationship between two selected variables in a study.
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Data Science Discovery
discovery.cs.illinois.edu › learn › Polling-Confidence-Intervals-and-Hypothesis-Testing › Hypothesis-Testing
Hypothesis Testing - Data Science Discovery
Formulate your Null and Alternative Hypotheses. Ho- Null Hypothesis: The true average ACT score of all freshman is 30 as claimed. This can be written in symbols as well: Ho: μ = 30
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Tallahassee State College
tsc.fl.edu › media › divisions › learning-commons › resources-by-subject › math › statistics › The-Null-and-the-Alternative-Hypotheses.pdf pdf
The Null and the Alternative Hypotheses
more than or less than 50%. The Null and Alternative Hypotheses looks like: H0: p = 0.5 (This is ... They want to test what proportion of the parts do not meet the specifications. Since they claim · that the proportion is less than 2%, the symbol for the Alternative Hypothesis will be <. As is the
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Quora
quora.com › How-do-you-write-a-null-and-alternative-hypothesis
How to write a null and alternative hypothesis - Quora
Answer (1 of 7): Null hypothesis ... if an idea is true or not. Null hypothesis represents No change/the status quo, while alternative hypothesis represents change/challenges the status quo. Example 1 (One-tailed test), you ...
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Stack Exchange
math.stackexchange.com › questions › 4776654 › what-is-the-notation-for-the-null-and-alternative-hypotheses-in-an-anova
statistics - What is the notation for the null and alternative hypotheses in an ANOVA? - Mathematics Stack Exchange
September 27, 2023 - An analysis of variance test (ANOVA) tests for a difference in means between two or more groups. In the case where there are more than two groups, the null hypothesis is written as the following: ... The actual alternative hypothesis for the ANOVA test simply states that the comparison between any two means is unequal.
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Texas Gateway
texasgateway.org › resource › 91-null-and-alternative-hypotheses
9.1 Null and Alternative Hypotheses | Texas Gateway
Ha never has a symbol with an equal in it. The choice of symbol depends on the wording of the hypothesis test. However, be aware that many researchers use = in the null hypothesis, even with > or < as the symbol in the alternative hypothesis.
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ALLEN
allen.in › home › jee maths › alternative hypothesis
Alternative Hypothesis: Definition, Formulas & Applications
June 8, 2025 - ... The alternative hypothesis is a statement that suggests there is a real effect or difference in a population. It is what researchers aim to support through data analysis. The alternative hypothesis is commonly denoted as H₁ or Ha. It contrasts with the null hypothesis, which is symbolized ...
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Medium
medium.com › @andersongimino › differences-between-the-null-and-alternative-hypotheses-6b2e794543f6
Differences between the null and alternative hypotheses | by Anderson Gimino | Medium
July 14, 2023 - Null hypotheses often include phrases ... terms, the alternative hypothesis always includes an inequality symbol (usually ≠, but sometimes < or >)....
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Reddit
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?

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Real-Statistics
real-statistics.com › home › hypothesis testing › null and alternative hypothesis
Null & Alternative Hypothesis | Real Statistics Using Excel
May 31, 2025 - Thus, the null hypothesis is valid ... complement of the null hypothesis is called the alternative hypothesis. The null hypothesis is typically abbreviated as H0 and the alternative hypothesis as H1....
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Durham College
durhamcollege.ca › wp-content › uploads › STAT_nullalternate_hypothesis.pdf pdf
Statistics: The Null and Alternate Hypotheses
July 27, 2011 - COVID-19 update: With the Step 1 of the provincial re-opening plan currently in effect, some in-person learning activities and campus operations are impacted. Program delivery information: spring semester and fall semester. Learn more about courses and services being offered remotely.
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BrownMath
brownmath.com › swt › symbol.htm
Symbol Sheet / SWT
Ho = null hypothesis. Defined here in Chapter 10. H1 or Ha = alternative hypothesis. Defined here in Chapter 10. IQR = interquartile range, Q3−Q1. Defined here in Chapter 3. m = slope of a line. Defined here in Chapter 4. (The TI-83 uses a and some statistics books use b1.)
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OpenStax
openstax.org › books › introductory-business-statistics-2e › pages › 9-1-null-and-alternative-hypotheses
9.1 Null and Alternative Hypotheses - Introductory Business Statistics 2e | OpenStax
December 13, 2023 - Table 9.1 presents the various hypotheses in the relevant pairs. For example, if the null hypothesis is equal to some value, the alternative has to be not equal to that value. ... As a mathematical convention H0 always has a symbol with an equal in it. Ha never has a symbol with an equal in it.