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Proportion Hypothesis Test Problems

Proportion Hypothesis Test Problems
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2017-01-28 00:43
Coordinate GeometryProbability & Statistics
This example demonstrates proportion hypothesis testing problems. Key mathematical concepts include hypothesis testing and statistics. Construction highlights include using GeoGebra commands such as Element, Sequence, If, Mod, Normal, etc., to build statistical models. Suitable for high school or college statistics courses.

GeoGebra Commands & Parameters

  1. Element(NSq, Op3) → N
  2. Element(XSq, Op3) → X
  3. Sequence(Mod[3 + (11 * k), 36] + 1, k, 1, 36) → OpSq2
  4. Element(OpSq2, Seed) → Op2
  5. If(Mod[Op2, 6] < 3, -1, 1) → RndDir
  6. Sequence(Mod[6 + (17 * k), 36] + 1, k, 1, 36) → OpSq0
  7. Element(OpSq0, Seed) → Op0
  8. Element(CnfSq, Mod[Op0, 4] + 1) → Cfd
  9. Sequence(Mod[4 + (13 * k), 36] + 1, k, 1, 36) → OpSq1
  10. Element(OpSq1, Seed) → Op1
  11. Mod(Op1, 6) → PrbOpt
  12. If(PrbOpt < 2, -1, If[PrbOpt > 3, 1, 0]) → Type
  13. If(Type ≟ 0, (-InverseNormal[0, 1, α / 2]), (-InverseNormal[0, 1, α])) → CV
  14. If(Phat < P0, -1, If[Phat > P0, 1, 0]) → DtDr
  15. If(Mod[Op1, 2] ≟ 0, 1, -1) → EON
  16. If(DtDr ≟ -1, If[EON ≟ 1, 0, 1], If[EON ≟ 1, 0, -1]) → IEDr
  17. If(IEDr ≟ 1, "is less than ", If[IEDr ≟ -1, "is more than ", "equals "]) → IETx
  18. If(DtDr ≟ -1, If[EON ≟ 1, " equals ", "is less than "], If[EON ≟ 1, " equals ", "is more than "]) → TypTx2
  19. If(Phat > 0.5, Phat, 1 - Phat) → PHHi
  20. If(Phat > 0.5, 1 - Phat, Phat) → PHLo
  21. If(PrbOpt < 3, -1, 1) → ClcDr
  22. Normal(0, 1, TstSt) → PVLT0
  23. Min(PVLT0, PVRT0) → PVhf
  24. If(PVLT0 < 1.0E-4, 1.0E-4, PVLT0) → PVLT1
  25. If(PVTT0 < 1.0E-4, " < ", " = ") → PVTTsg
  26. If(PVTT0 < 1.0E-4, 1.0E-4, PVTT0) → PVTT1
  27. If(PVRT0 < 1.0E-4, 1.0E-4, PVRT0) → PVRT1
  28. If(PVRT0 < 1.0E-4, " < ", " = ") → PVRTsg
  29. If(PVLT0 < 1.0E-4, " < ", " = ") → PVLTsg
  30. If(IEDr ≟ -1, " > ", If[IEDr ≟ 1, " < ", " ≠ "]) → DrSgnNll
  31. If(IEDr ≟ -1, " ≤ ", If[IEDr ≟ 1, " ≥ ", " = "]) → DrSgnAlt
  32. If(IEDr ≟ -1, "right-tailed", If[IEDr ≟ 1, "left-tailed", "two-tailed"]) → TypTx1
  33. If(Type ≟ -1, "≤ ", " ≥ ") → PVKSg
  34. If(IEDr ≟ -1, PVRT1, If[IEDr ≟ 1, PVLT1, PVTT1]) → PV
  35. If(PV < α, "<", "≥") → CmpIE
  36. If(PV < α, "reject", "keep") → DCS
  37. If(PV < α, "is", "is not") → OrNot
  38. If(PV < 1.0E-4, "<", "=") → PVsg
  39. Element(PSSq, Op3) → PS0
  40. If(IEDr ≟ 1, "is less than ", If[IEDr ≟ -1, "is more than ", "does not equal "]) → ConIETx
  41. If(IEDr ≟ 1, PVLTtx, If[IEDr ≟ -1, PVGTtx, PVTTtx]) → PVClc

AI Drawing Prompt Reference

Create a statistical chart demonstrating proportion hypothesis testing. Include normal distribution curves, critical value lines, and sample proportion, with color and arrows indicating rejection or acceptance regions for the null hypothesis, and label the relationship between P-value and significance level α.
The prompt above was compiled from the original drawing commands and is for reference only.