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Type I & Type II Errors

Type I & Type II Errors
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2015-03-26 11:26
FunctionProbability & Statistics
This example illustrates the relationship between Type I and Type II errors in a z-test. Key concepts include the two types of errors in hypothesis testing. Using GeoGebra commands such as Intersect, Segment, and Integral, the probabilities of these errors are visually demonstrated as the significance level α changes. Suitable for teaching and learning statistics and probability.

GeoGebra Commands & Parameters

  1. Intersect(g, a, (105.51700678435895, 0.048687510558686656)) → A
  2. Intersect(f, a, (105.51700678435895, 0.030749107037518226)) → B
  3. Intersect(a, xAxis) → C
  4. Segment(B, C) → b
  5. Segment(A, C) → c
  6. Integral(f, InverseNormal[100, 15 / sqrt(n), 1 - α], 1000) → d
  7. Integral(g, 0, InverseNormal[100, 15 / sqrt(n), 1 - α]) → e
  8. Textfield(μ) → inputBox1