比例假设检验问题
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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
Element(NSq, Op3) → NElement(XSq, Op3) → XSequence(Mod[3 + (11 * k), 36] + 1, k, 1, 36) → OpSq2Element(OpSq2, Seed) → Op2If(Mod[Op2, 6] < 3, -1, 1) → RndDirSequence(Mod[6 + (17 * k), 36] + 1, k, 1, 36) → OpSq0Element(OpSq0, Seed) → Op0Element(CnfSq, Mod[Op0, 4] + 1) → CfdSequence(Mod[4 + (13 * k), 36] + 1, k, 1, 36) → OpSq1Element(OpSq1, Seed) → Op1Mod(Op1, 6) → PrbOptIf(PrbOpt < 2, -1, If[PrbOpt > 3, 1, 0]) → TypeIf(Type ≟ 0, (-InverseNormal[0, 1, α / 2]), (-InverseNormal[0, 1, α])) → CVIf(Phat < P0, -1, If[Phat > P0, 1, 0]) → DtDrIf(Mod[Op1, 2] ≟ 0, 1, -1) → EONIf(DtDr ≟ -1, If[EON ≟ 1, 0, 1], If[EON ≟ 1, 0, -1]) → IEDrIf(IEDr ≟ 1, "is less than ", If[IEDr ≟ -1, "is more than ", "equals "]) → IETxIf(DtDr ≟ -1, If[EON ≟ 1, " equals ", "is less than "], If[EON ≟ 1, " equals ", "is more than "]) → TypTx2If(Phat > 0.5, Phat, 1 - Phat) → PHHiIf(Phat > 0.5, 1 - Phat, Phat) → PHLoIf(PrbOpt < 3, -1, 1) → ClcDrNormal(0, 1, TstSt) → PVLT0Min(PVLT0, PVRT0) → PVhfIf(PVLT0 < 1.0E-4, 1.0E-4, PVLT0) → PVLT1If(PVTT0 < 1.0E-4, " < ", " = ") → PVTTsgIf(PVTT0 < 1.0E-4, 1.0E-4, PVTT0) → PVTT1If(PVRT0 < 1.0E-4, 1.0E-4, PVRT0) → PVRT1If(PVRT0 < 1.0E-4, " < ", " = ") → PVRTsgIf(PVLT0 < 1.0E-4, " < ", " = ") → PVLTsgIf(IEDr ≟ -1, " > ", If[IEDr ≟ 1, " < ", " ≠ "]) → DrSgnNllIf(IEDr ≟ -1, " ≤ ", If[IEDr ≟ 1, " ≥ ", " = "]) → DrSgnAltIf(IEDr ≟ -1, "right-tailed", If[IEDr ≟ 1, "left-tailed", "two-tailed"]) → TypTx1If(Type ≟ -1, "≤ ", " ≥ ") → PVKSgIf(IEDr ≟ -1, PVRT1, If[IEDr ≟ 1, PVLT1, PVTT1]) → PVIf(PV < α, "<", "≥") → CmpIEIf(PV < α, "reject", "keep") → DCSIf(PV < α, "is", "is not") → OrNotIf(PV < 1.0E-4, "<", "=") → PVsgElement(PSSq, Op3) → PS0If(IEDr ≟ 1, "is less than ", If[IEDr ≟ -1, "is more than ", "does not equal "]) → ConIETxIf(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。