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  1. Null & Alternative Hypotheses | Definitions, Templates

    • The null and alternative hypotheses offer competing answers to your research question. When the research question asks “Does the independent variable affect the dependent variable?”: 1. The null hypoSee more

    What Is A Null Hypothesis?

    The null hypothesis is the claim that there’s no effect in the population. If the sample provides enough evidence against the claim that there’s no effect in the population (p ≤ α), the… See more

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    What Is An Alternative Hypothesis?

    The alternative hypothesis (Ha) is the other answer to your research question. It claims that there’s an effect in the population. Often, your alternative hypothesis is the same as yo… See more

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    Similarities and Differences Between Null and Alternative Hypotheses

    Null and alternative hypotheses are similar in some ways: 1. They’re both answers to the research question. 2. They both make claims about the population. 3. They’re both evaluated b… See more

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    How to Write Null and Alternative Hypotheses

    To help you write your hypotheses, you can use the template sentences below. If you know which statistical test you’re going to use, you can use the test-specific template sentences. … See more

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    Other Interesting Articles

    If you want to know more about statistics, methodology, or research bias, make sure to check out some of our other articles with explanations and examples. See more

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  1. In hypothesis testing, H0 always has a symbol with an equal in it, while Ha never has a symbol with an equal in it1. The choice of symbol depends on the wording of the hypothesis test. However, many researchers use = in the null hypothesis, even with > or < as the symbol in the alternative hypothesis1.Some Greek letters used in hypothesis testing include2:
    • α “alpha” = significance level in hypothesis test, or acceptable probability of a Type I error (probability you can live with).
    • β “beta” = in a hypothesis test, the acceptable probability of a Type II error; 1−β is called the power of the test.
    • μ mu, pronounced “mew” = mean of a population.
    • ν nu: see df, above.
    Learn more:
    H0 always has a symbol with an equal in it. 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 (including one of the co-authors in research work) use = in the null hypothesis, even with > or < as the symbol in the alternative hypothesis.
    pressbooks-dev.oer.hawaii.edu/introductorystatistic…

    Greek Letters

    • α “alpha” = significance level in hypothesis test, or acceptable probability of a Type I error (probability you can live with). ...
    brownmath.com/swt/symbol.htm
     
  2. Symbol Sheet / SWT - BrownMath.com

     
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  16. What symbols are used to represent null hypotheses? - Scribbr

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