Hypothesis Testing and Proof by Contradiction: An Analogy

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Title:

Hypothesis Testing and Proof by Contradiction: An Analogy

Url:

https://onlinelibrary.wiley.com/doi/abs/10.1111/j.1467-9639.1980.tb003...

Creator:

Brewer, J.K.
Reeves, C. A.

Publisher:

Royal Statistical Society (Great Britain)

Description: Created by C.A. Reeves and J.K. Brewer, the "proof by contradiction" in mathematics, provides a reasonable parallel to the concept of hypothesis testing and in the process helps students see the fallacy of believing that the null hypothesis, H0, is true when they have simply failed to reject it. The authors state, "Concerned statistics instructors are constantly on the lookout for examples and analogies to assist students of basic statistics to comprehend the underpinnings of hypothesis testing. Logic and mathematics are the foundations of statistical theory and as such pervade the entire structure of statistics providing several useful comparisons." This lesson looks to help these statistics instructors with a detailed lesson plan.

LC Classification:

Science -- Mathematics -- Mathematical statistics -- Addresses, essays, lectures
Science -- Mathematics -- Mathematical statistics -- Study and teaching. Research
Science -- Mathematics -- Mathematical statistics -- Testing of hypotheses

GEM Subject:

Mathematics -- Statistics

Key Concept:

Mathematics -- Hypothesis testing
Mathematics -- Statistics

Resource Type:

Reference Material
Instructional Material -- Lesson/Lesson Plan
Instructional Material -- Instructor Guide/Manual

Format:

Document -- HTML

Audience:

Educator
Learner

Education Level:

High School
Higher Education
Higher Education -- Undergraduate (Lower Division)
Higher Education -- Undergraduate (Upper Division)
Higher Education -- Technical Education (Upper Division)
Higher Education -- Technical Education (Lower Division)
Vocational/Professional Development Education

Language:

English

Access Rights:

Free access

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Source:

CAUSEweb

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