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Exploring the Power of Hypothesis Testing

Exploring the Power of Hypothesis Testing
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2018-06-17 18:55
FunctionCalculusDerivativeProbability & StatisticsGeometric Construction
This example demonstrates how to dynamically visualize the process and effectiveness of hypothesis testing using GeoGebra. Key math concepts include hypothesis testing, random variables, conditional probability, derivatives, and roots. The construction leverages commands/objects like Textfield, If, panelbottom1, UnicodeToLetter, Cell, along with properties such as green, H2, red, gprob, panelsize, and objects G1-G36 for graphical representation. Suitable for high school and above students to understand statistical inference and parameter estimation applications.

GeoGebra Commands & Parameters

  1. Textfield(hyppi) → InputBox1
  2. If(H2 < gprob, 1, 0) → I2
  3. If(H3 < gprob, 1, 0) → I3
  4. If(H4 < gprob, 1, 0) → I4
  5. If(H5 < gprob, 1, 0) → I5
  6. If(H6 < gprob, 1, 0) → I6
  7. If(H7 < gprob, 1, 0) → I7
  8. If(H8 < gprob, 1, 0) → I8
  9. If(H9 < gprob, 1, 0) → I9
  10. If(H10 < gprob, 1, 0) → I10
  11. If(H11 < gprob, 1, 0) → I11
  12. If(H12 < gprob, 1, 0) → I12
  13. If(H13 < gprob, 1, 0) → I13
  14. If(H14 < gprob, 1, 0) → I14
  15. If(H15 < gprob, 1, 0) → I15
  16. If(H16 < gprob, 1, 0) → I16
  17. If(H17 < gprob, 1, 0) → I17
  18. If(H18 < gprob, 1, 0) → I18
  19. If(H19 < gprob, 1, 0) → I19
  20. If(H20 < gprob, 1, 0) → I20
  21. If(H21 < gprob, 1, 0) → I21
  22. If(H22 < gprob, 1, 0) → I22
  23. If(H23 < gprob, 1, 0) → I23
  24. If(H24 < gprob, 1, 0) → I24
  25. If(H25 < gprob, 1, 0) → I25
  26. If(H26 < gprob, 1, 0) → I26
  27. If(H27 < gprob, 1, 0) → I27
  28. If(H28 < gprob, 1, 0) → I28
  29. If(H29 < gprob, 1, 0) → I29
  30. If(H30 < gprob, 1, 0) → I30
  31. If(H31 < gprob, 1, 0) → I31
  32. If(H32 < gprob, 1, 0) → I32
  33. If(H33 < gprob, 1, 0) → I33
  34. If(H34 < gprob, 1, 0) → I34
  35. If(H35 < gprob, 1, 0) → I35
  36. If(H36 < gprob, 1, 0) → I36
  37. If(H37 < gprob, 1, 0) → I37
  38. If(H38 < gprob, 1, 0) → I38
  39. If(H39 < gprob, 1, 0) → I39
  40. If(H40 < gprob, 1, 0) → I40
  41. If(H41 < gprob, 1, 0) → I41
  42. If(H42 < gprob, 1, 0) → I42
  43. If(H43 < gprob, 1, 0) → I43
  44. If(H44 < gprob, 1, 0) → I44
  45. If(H45 < gprob, 1, 0) → I45
  46. If(H46 < gprob, 1, 0) → I46
  47. If(H47 < gprob, 1, 0) → I47
  48. If(H48 < gprob, 1, 0) → I48
  49. If(H49 < gprob, 1, 0) → I49
  50. If(H50 < gprob, 1, 0) → I50
  51. If(H51 < gprob, 1, 0) → I51
  52. If(H52 < gprob, 1, 0) → I52
  53. If(H53 < gprob, 1, 0) → I53
  54. If(H54 < gprob, 1, 0) → I54
  55. If(H55 < gprob, 1, 0) → I55
  56. If(H56 < gprob, 1, 0) → I56
  57. If(H57 < gprob, 1, 0) → I57
  58. If(H58 < gprob, 1, 0) → I58
  59. If(H59 < gprob, 1, 0) → I59
  60. If(H60 < gprob, 1, 0) → I60
  61. If(H61 < gprob, 1, 0) → I61
  62. If(H62 < gprob, 1, 0) → I62
  63. If(H63 < gprob, 1, 0) → I63
  64. If(H64 < gprob, 1, 0) → I64
  65. If(H65 < gprob, 1, 0) → I65
  66. If(H66 < gprob, 1, 0) → I66
  67. If(H67 < gprob, 1, 0) → I67
  68. If(H68 < gprob, 1, 0) → I68
  69. If(H69 < gprob, 1, 0) → I69
  70. If(H70 < gprob, 1, 0) → I70
  71. If(H71 < gprob, 1, 0) → I71
  72. If(H72 < gprob, 1, 0) → I72
  73. If(H73 < gprob, 1, 0) → I73
  74. If(H74 < gprob, 1, 0) → I74
  75. If(H75 < gprob, 1, 0) → I75
  76. If(H76 < gprob, 1, 0) → I76
  77. If(H77 < gprob, 1, 0) → I77
  78. If(H78 < gprob, 1, 0) → I78
  79. If(H79 < gprob, 1, 0) → I79
  80. If(H80 < gprob, 1, 0) → I80
  81. If(H81 < gprob, 1, 0) → I81
  82. If(H82 < gprob, 1, 0) → I82
  83. If(H83 < gprob, 1, 0) → I83
  84. If(H84 < gprob, 1, 0) → I84
  85. If(H85 < gprob, 1, 0) → I85
  86. If(H86 < gprob, 1, 0) → I86
  87. If(H87 < gprob, 1, 0) → I87
  88. If(H88 < gprob, 1, 0) → I88
  89. If(H89 < gprob, 1, 0) → I89
  90. If(H90 < gprob, 1, 0) → I90
  91. If(H91 < gprob, 1, 0) → I91
  92. If(H92 < gprob, 1, 0) → I92
  93. If(H93 < gprob, 1, 0) → I93
  94. If(H94 < gprob, 1, 0) → I94
  95. If(H95 < gprob, 1, 0) → I95
  96. If(H96 < gprob, 1, 0) → I96
  97. If(H97 < gprob, 1, 0) → I97
  98. If(H98 < gprob, 1, 0) → I98
  99. If(H99 < gprob, 1, 0) → I99
  100. If(H100 < gprob, 1, 0) → I100
  101. If(H101 < gprob, 1, 0) → I101
  102. If(H102 < gprob, 1, 0) → I102
  103. If(H103 < gprob, 1, 0) → I103
  104. If(H104 < gprob, 1, 0) → I104
  105. If(H105 < gprob, 1, 0) → I105
  106. If(H106 < gprob, 1, 0) → I106
  107. If(H107 < gprob, 1, 0) → I107
  108. If(H108 < gprob, 1, 0) → I108
  109. If(H109 < gprob, 1, 0) → I109
  110. If(H110 < gprob, 1, 0) → I110
  111. If(H111 < gprob, 1, 0) → I111
  112. If(H112 < gprob, 1, 0) → I112
  113. If(H113 < gprob, 1, 0) → I113
  114. If(H114 < gprob, 1, 0) → I114
  115. If(H115 < gprob, 1, 0) → I115
  116. If(H116 < gprob, 1, 0) → I116
  117. If(H117 < gprob, 1, 0) → I117
  118. If(H118 < gprob, 1, 0) → I118
  119. If(H119 < gprob, 1, 0) → I119
  120. If(H120 < gprob, 1, 0) → I120
  121. If(H121 < gprob, 1, 0) → I121
  122. If(H122 < gprob, 1, 0) → I122
  123. If(H123 < gprob, 1, 0) → I123
  124. If(H124 < gprob, 1, 0) → I124
  125. If(H125 < gprob, 1, 0) → I125
  126. If(H126 < gprob, 1, 0) → I126
  127. If(H127 < gprob, 1, 0) → I127
  128. If(H128 < gprob, 1, 0) → I128
  129. If(H129 < gprob, 1, 0) → I129
  130. If(H130 < gprob, 1, 0) → I130
  131. If(H131 < gprob, 1, 0) → I131
  132. If(H132 < gprob, 1, 0) → I132
  133. If(H133 < gprob, 1, 0) → I133
  134. If(H134 < gprob, 1, 0) → I134
  135. If(H135 < gprob, 1, 0) → I135
  136. If(H136 < gprob, 1, 0) → I136
  137. If(H137 < gprob, 1, 0) → I137
  138. If(H138 < gprob, 1, 0) → I138
  139. If(H139 < gprob, 1, 0) → I139
  140. If(H140 < gprob, 1, 0) → I140
  141. If(H141 < gprob, 1, 0) → I141
  142. If(H142 < gprob, 1, 0) → I142
  143. If(H143 < gprob, 1, 0) → I143
  144. If(H144 < gprob, 1, 0) → I144
  145. If(H145 < gprob, 1, 0) → I145
  146. If(H146 < gprob, 1, 0) → I146
  147. If(H147 < gprob, 1, 0) → I147
  148. If(H148 < gprob, 1, 0) → I148
  149. If(H149 < gprob, 1, 0) → I149
  150. If(H150 < gprob, 1, 0) → I150
  151. If(H151 < gprob, 1, 0) → I151
  152. If(H152 < gprob, 1, 0) → I152
  153. If(H153 < gprob, 1, 0) → I153
  154. If(H154 < gprob, 1, 0) → I154
  155. If(H155 < gprob, 1, 0) → I155
  156. If(H156 < gprob, 1, 0) → I156
  157. If(H157 < gprob, 1, 0) → I157
  158. If(H158 < gprob, 1, 0) → I158
  159. If(H159 < gprob, 1, 0) → I159
  160. If(H160 < gprob, 1, 0) → I160
  161. If(H161 < gprob, 1, 0) → I161
  162. If(H162 < gprob, 1, 0) → I162
  163. If(H163 < gprob, 1, 0) → I163
  164. If(H164 < gprob, 1, 0) → I164
  165. If(H165 < gprob, 1, 0) → I165
  166. If(H166 < gprob, 1, 0) → I166
  167. If(H167 < gprob, 1, 0) → I167
  168. If(H168 < gprob, 1, 0) → I168
  169. If(H169 < gprob, 1, 0) → I169
  170. If(H170 < gprob, 1, 0) → I170
  171. If(H171 < gprob, 1, 0) → I171
  172. If(H172 < gprob, 1, 0) → I172
  173. If(H173 < gprob, 1, 0) → I173
  174. If(H174 < gprob, 1, 0) → I174
  175. If(H175 < gprob, 1, 0) → I175
  176. If(H176 < gprob, 1, 0) → I176
  177. If(H177 < gprob, 1, 0) → I177
  178. If(H178 < gprob, 1, 0) → I178
  179. If(H179 < gprob, 1, 0) → I179
  180. If(H180 < gprob, 1, 0) → I180
  181. If(H181 < gprob, 1, 0) → I181
  182. If(H182 < gprob, 1, 0) → I182
  183. If(H183 < gprob, 1, 0) → I183
  184. If(H184 < gprob, 1, 0) → I184
  185. If(H185 < gprob, 1, 0) → I185
  186. If(H186 < gprob, 1, 0) → I186
  187. If(H187 < gprob, 1, 0) → I187
  188. If(H188 < gprob, 1, 0) → I188
  189. If(H189 < gprob, 1, 0) → I189
  190. If(H190 < gprob, 1, 0) → I190
  191. If(H191 < gprob, 1, 0) → I191
  192. If(H192 < gprob, 1, 0) → I192
  193. If(H193 < gprob, 1, 0) → I193
  194. If(H194 < gprob, 1, 0) → I194
  195. If(H195 < gprob, 1, 0) → I195
  196. If(H196 < gprob, 1, 0) → I196
  197. If(H197 < gprob, 1, 0) → I197
  198. If(H198 < gprob, 1, 0) → I198
  199. If(H199 < gprob, 1, 0) → I199
  200. If(H200 < gprob, 1, 0) → I200
  201. If(H201 < gprob, 1, 0) → I201
  202. panelbottom1(panelsize) → q1, f
  203. UnicodeToLetter(34) → Unq
  204. Textfield(siglevel) → InputBox2
  205. Cell(4, expnum + 1) → totsig
  206. If(B2 < siglevel / 100, 1, 0) → C2

AI Drawing Prompt Reference

Create a dynamic visualization of the hypothesis testing process, including concepts of random variables, conditional probability, derivatives, and roots. Use a text input box to enter the description of the hypothesis test. Apply conditional statements to determine if random variables are less than a given probability, and draw different colored elements, such as green and red, to visually demonstrate the effectiveness of the hypothesis test.
The prompt above was compiled from the original drawing commands and is for reference only.