Hypothesis Test Power Analysis

Hypothesis Test Power Analysis
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2016-10-29 02:07
This example demonstrates how to analyze the power of a hypothesis test by adjusting parameters such as sample standard deviation and sample size. Key mathematical concepts include hypothesis testing and power analysis in probability and statistics. Using GeoGebra commands like Mod, Element, If, Normal, etc., users can dynamically adjust parameters and observe the results. Suitable for high school or university statistics courses.

GeoGebra Commands & Parameters

  1. Mod((seed * RndFct), Cmpst) → Nmb1
  2. Element(Z2TSq, Chc3) → Zc2T
  3. Element(Z1TSq, Chc3) → Zc1T
  4. If(Chc2 < 3, Zc1T, Zc2T) → Zc
  5. Element(AccSq, Chc1) → Acc
  6. Element(NSq, Chc1) → N
  7. Element(SDSq, Chc1) → SD
  8. Element(MuSq, Chc1) → Mu0
  9. If(Mod[Chc2, 2] ≟ 0, Mu11, Mu12) → Mu1
  10. If(Mod[Chc2, 2] ≟ 0, Xc1, Xc2) → Xc
  11. Element(IE1Sq, Chc2) → IE1
  12. Element(IE2Sq, Chc2) → IE2
  13. Element(AlphSq, Chc3) → Alph
  14. Normal(Mu1, SE, Xc) → PrbLf
  15. If(Chc2 ≟ 2, PrbLf, If[Chc2 ≟ 1, PrbRt, PrbTT]) → Prb
  16. If(Prb < 0.001, "less than 0.001", If[Prb > 0.999, "more than 0.999", ("about " * Prb)]) → PrbTx
  17. If(Prc < 0.01, "less than 0.1%", If[Prc > 99.9, "more than 99.9%", (("about " * Prc) * "%")]) → PrcTx