比例假设检验问题

比例假设检验问题
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2017-01-28 00:43
该范例演示了比例假设检验的问题。涉及的核心数学概念包括假设检验、统计学。作图要点包括使用 GeoGebra 命令如 Element, Sequence, If, Mod, Normal 等来构造统计模型。适合高中或大学统计学课程使用。

GeoGebra 命令及参数

  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 绘图提示语参考

绘制一个统计图表,展示比例假设检验。包含正态分布曲线、临界值线和样本比例,通过颜色和箭头指示拒绝或接受原假设的区域,并标注P值与显著性水平α的关系。
以上提示语为根据原始绘图命令整理而来,仅供参考。