A Type II error in significance testing occurs when a researcher fails to reject a false null hypothesis.

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SUPPORTED

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6 sources for · 0 against

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Is it true that a Type II error in significance testing occurs when a researcher fails to reject a false null hypothesis?

Yes. Multiple authoritative reference and peer-reviewed sources confirm that a Type II error in statistical hypothesis testing occurs when a researcher fails to reject (or accepts) a false null hypothesis.

Verdict: SUPPORTED · 6 sources for, 0 against · Last checked 4 Oct 2026

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Judged against reference works: claims of this kind are settled by reference works, not journal abstracts.

Evidence for · 6

Wikipedia: Type I and type II errors

Reference article covering this claim directly

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Wikipedia: Type I and type II errors. (n.d.). Wikipedia. https://en.wikipedia.org/wiki/Type_I_and_type_II_errors

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More for · 5

PLOS (all journals): A methodologically sound survey of Chinese consumers’ willingness to participate in courier, express, and parcel companies’ green logistics

States a Type II error occurs when a false null hypothesis is not rejected.

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PLOS (all journals): A methodologically sound survey of Chinese consumers’ willingness to participate in courier, express, and parcel companies’ green logistics. (n.d.). PLOS (all journals). https://doi.org/10.1371/journal.pone.0255532

LibreTexts: LibreTexts: 06: Logic of Hypothesis Testing

Explicitly states a Type II error is failing to reject a false null hypothesis.

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LibreTexts: LibreTexts: 06%3A Logic of Hypothesis Testing. (n.d.). LibreTexts. https://stats.libretexts.org/Courses/Luther_College/Psyc_350%3A_Behavioral_Statistics_(Toussaint)/06%3A_Logic_of_Hypothesis_Testing

Semantic Scholar peS2o: Sample size calculation – continuous outcome variable

Defines Type II error as the probability of not rejecting the null hypothesis when it is false.

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Semantic Scholar peS2o: Sample size calculation – continuous outcome variable. (n.d.). Semantic Scholar peS2o. https://pulmonarychronicles.com/index.php/pulmonarychronicles/article/download/487/1077

PubMed / MEDLINE: PubMed: Interpretation of research data: hypothesis testing.

Notes a Type II error occurs when a false null hypothesis is accepted.

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PubMed / MEDLINE: PubMed: Interpretation of research data: hypothesis testing.. (n.d.). PubMed / MEDLINE. https://pubmed.ncbi.nlm.nih.gov/7211860/

Wikipedia: Wikipedia: Type III error

Mentions failing to reject the null hypothesis when it is false as a Type II error.

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Wikipedia: Wikipedia: Type III error. (n.d.). Wikipedia. https://en.wikipedia.org/wiki/Type_III_error

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