wiki/education/statistics/4.html

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title: 4
description: 
published: true
date: 2026-02-11T14:34:15.113Z
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editor: ckeditor
dateCreated: 2026-02-11T14:34:15.113Z
-->

<h2><span style="font-family:Arial, Helvetica, sans-serif;">General</span></h2>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">One Sample proportion test</span></h3>
<figure class="image"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAH0AAAAjCAMAAACO2vWQAAAAAXNSR0IArs4c6QAAALRQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6OgBmOjoAOjpmOjqQOmZmOmaQOma2OpCQOpC2OpDbZgAAZgA6ZgBmZjoAZjo6ZjpmZmYAZmaQZpC2ZrbbZrb/kDoAkDo6kGY6kGZmkJA6kJC2kNvbkNv/tmYAtmY6tpA6vJA6tpBmttvbttv/tv//25A625Bm27Zm27aQ27a229u22////7Zm/9uQ/9u2/9vb//+2///bKwketAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAACuUlEQVRYR+1X63bSQBDOUqFpRYs2ijeaopW0at2iZpdm3/+9nMtmswkbiCnQc3qcP+SEmfnm+u0miv7LE6nAaj7bkImc5PvMU49v0f3y9GcYRb/YI7y5vABU/e75UQt6JCe7Tt7MxUxPB1ByNcLU7nNVR68UouJtW1x9o/q1yF5+yiUgy2P20UCvFCKTYnV2KiYFVAn5ZuceukkFCbx3CpFT2V0AxZsFuIXca+ief6ewD3QNI14kkHcbulMIomcDCL6DrOZnoY2BohtM3fVdNvw5Beq7HP/wsdTRFxrWhhSJEDgjinqHDydhKsmeCUFh8cyDfmlhPTqFiHqwmnp7B29MauelFoBOBA2xTUVRLOtSzTHv+5p4g85bQW2ysoTH4mMgeX36gZLGZaqb1IM8cX2zXNfA105Bj3ndVYdWq9FSYJA8TM1mOghlG4MvgjzvFBzP0wpGkfkeDxbmWgxCJcvOiwTSLhL806RUgY0GwcYEX3Iqcqbj2edbk2KJV1MxpFPCXBEQzCduA+4LFp5nwDfojtbULGdIx9gLRDGXC3NDRVAT1MZ2KSg9t13HdlIqg/7gzpukSUZ0ie6X8et89Z4XjKo+yrntDr0ysOhMqN3F90Y0QZX/TZiu/FGGpc4GX/lgcOiVwcNz5+nTsT2dPIe8pUq84n0p0dsN/iUY641/QlTLWwqExzxop85G0ZWb2yKyU6fEcW5uQixm9ztjvis3DorhDLLWK8zWMpTOh3MhhoFDpmR3HVsqWDfoj16yDZNOF+HSWzsyoPnrJZZpfb7f5od65RkwB/aRIpmQWdu5FfSJJ6xnIDdd3TcF5U5YGex5m+n99dm3TgZwi72Aa264Nnf120Wf4m22uaNrLtHVYwgOZ/jKcohocCLpFvUogt8TjW+KA8ZBXzajP1cHhPSgcOBUvIWN/gKCD1dReU16SgAAAABJRU5ErkJggg=="></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;when&nbsp;</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p>&nbsp;</p>
<p><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Confidence Interval</strong></span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p>&nbsp;</p>
<p><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Maximum Error Estimate</strong></span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p>&nbsp;</p>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">Analysis of Count Data</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Setting&nbsp;H0 and H1:</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p>&nbsp;</p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Test statistics:</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Where</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<figure class="image"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEIAAAAtCAMAAAAtKE1VAAAAAXNSR0IArs4c6QAAAIRQTFRFAAAAAAAAAAA6AABmADpmADqQAGaQAGa2OgAAOjpmOma2OpDbZgAAZgA6ZjoAZjqQZmaQZpDbZrbbZrb/kDoAkDo6kDpmkGY6kGZmkJA6kLb/kNvbkNv/tmYAtmY6tpA6tpBmttv/tv//25A625Bm27Zm2////7Zm/9uQ/9u2//+2///bqKuUCwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABc0lEQVRIS+1W2XKDMAyUIS200COpewNt4jaA/f//V/kIOJnpFG9eqweGB3YtrbQyRP+BK9CJ1Y6MzBqY4mszlJV5xAnsyUZedg9wCh7YiuszGagPOozPwuoChL4Vrg4j1zTWBcBA3buccS1CoSpq853yguo6XViVrYmG0j5tdBVSR4zpota00LDFDH3+erFPTqlnjL7zOH3TGJlcla4FRzj6m+H6Pj2N5Lx/BZjPMmtMJ7L0Bh84FZt387I1Mj+ddmVLDfGHUEN5xWisrSER5VyzjCJKbHq1YNsXWwhsXuN8N5TFqXmXa8GrMKoDMm8vir358FsEMi9LsbL7K2xkyLxeihCx9ZZPr67nscEYqA8q8KGxeZfnQKQmHY7Mm0KR9u1kyrc0XPR1MKWugSU30ThTauwGik3pJxoNvoa4d27hg7b0k+h40DvVlRBNNGBLN4ms5vjk9iRyp7oSiP+3tk5MyJZHbQBNFXGcz4Dack7iYMsfdIobvaERhJEAAAAASUVORK5CYII="></figure>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p>&nbsp;</p>
<p><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Confidence Interval</strong></span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p>&nbsp;</p>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">Test the Differences Among Proportions</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Setting&nbsp;H0 and H1:</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Test statistics:</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Where o is observed frequency, and e is expected frequency.</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;when we compare k sample proportion.</span></p>
<p>&nbsp;</p>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">The Chi-Square Independence and Homogeneity Tests</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Tests using Contingency Tables</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Setting&nbsp;H0 and H1:</span></p>
<p>&nbsp;</p>
<figure class="table">
  <table style="border-bottom:none;border-left:none;border-right:none;border-top:none;">
    <tbody>
      <tr>
        <td style="border-bottom:1.0pt solid windowtext;border-left:1.0pt solid windowtext;border-right:1.0pt solid windowtext;border-top:1.0pt solid windowtext;padding:0mm 5.4pt;vertical-align:top;width:522.8pt;">
          <p><span style="font-family:Arial, Helvetica, sans-serif;">Testing for Independence:</span></p>
          <figure class="image"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAiEAAAAXCAYAAADdq58eAAAAAXNSR0IArs4c6QAAAAlwSFlzAAASdAAAEnQB3mYfeAAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAACKrSURBVHhe7V1fUJRXlj/f9/GYKvMa8S10EwlTNZWKE2l1HnZGkUZHZ0esXVK1mMg/X0Jj4sNE0kKL2apFQcjuCk12Ag+DGZPsaBSQ7NNGG6cGU6sTBO1u92nN44460apZ6f72d+79/vXX/wUSknS/KF/f795zzj33nnPP+Z3bZT09PVT6lCRQkkBJAiUJlCRQkkBJAt+0BMq+6QFL45UkUJJASQIlCZQkUJJASQIsgZITUtKDkgRKEihJoCSBkgRKEvhWJFByQr4VsZcGLUmgJIGSBEoSKEmgJIGSE1LSgZIEShIoSaAkgTUvgWDjpsTQyRPqOX0ffTDcQR5F0UKhUHLNE/4DI7Bx3czSax+9qP36N0fokddTthgKJXKJoOSE/MAU5LvILpRa9wRmBem+0zGqfTChfBf5KIZm5tkLnnXBc5RmAx61pyfEf6Z9Gp+dSXo7ZpVC2hZDQ6ktUbBxXXKrt1OJ6JCub4CiV4XxU2H8Ms7Fd0VmwVfXJbZ6OlUnXzdg1GEw1qRRD266l9jmnVGrLo1RxyOPdvb42qRzJee/cd3lRGXnH9QkdK9m4A51lnu1xcW1wzd0aGmb97AWSSZJr+mn21cDVKkqZaEQlV0Z27R06LUXtC83frq0/v7GsurqxayOiOWEBIOb9DbFT2FLiq00pY/QXCik5PpuJYVe6uu7JwFsDrriD1PrlE7lc6FVcQ4mHtQqsdMkHJFqbwXR3NqX03LlwjxHB6vhXIQV5lm6YJk/E/dr1eggCUckX9u1L7mnpxAyT6r1YaXlUpLCfkXtWQFHITTxQL0aHRCOiN5QT144ICvR79NzuTJvhn77QLsaGxCOiODr44+1nsXFNeuAaPWj6sFLS/TzR+qaMsQrMxtZ1vWDndqdARKOSLUH+1492oVWc8Ti+oYOlV2J9gtHJAkdeucTpax6UUY9QhNzZWeuXFo6VLZL+7JvYYk2NFjfuUexnJBQaE4ZiZ3WyROAIwIHJCYdENEhf6fDyggnJfW74sgutf6+SSAenQdLPqryED1YdeeglfbWwQdZ9XGWP0srIxeWLXjeqVCYz915N6Bi2i6fx7XWgynzjdDFgsRVJAPfVwev2vs8BR55aDG/ghUpseU3xwE40a51q5v7b9MoHJANaygSsHzuCu2hhfbUKWvNB0khnnXoz49T+YHfUHbmYvNS2a6DWt/C50sbGoIZUzNp6RhhUk4fobkJ16k2HiX+jlr3pn9XqCzztJOnR7IiMCvU7Zrr5vvEJ5/Y+aqZBxN5LeSy5iG2gFiAbz/BvnwXAiG0EnKJ30I6BjxX4CiQz6gW03ZZE7GGX4bM1e5uoodnj6+sOY0tIBJVQ/tWybn51kQaXaBrgi8o2I3Vp4JTKlo9qReXhumRWljqJz7YS6N6DZ3yV1DAS7S4uttMihCCL4Pe3aR++mSY6kHvt4E/iS5cI6qR+97TfiB3OAKkXfi/M/RYU/NiNIoaR+jQZvpb6NCGTPNTd4T6fS9Q56lpSt5/TD3V6b2nOiFiscHPyBDyjk+ek9+t0lEUoCO9zXOMPaDvjKEparKMxj8UPp9GNtnekelAoZg0YUTnVrL/tdhXMNioD26BRa32yhRAT09WDEIw+JNkm0oKteRvuxZ5Xes0iQgLDEE9IuLfp89d8KX7GgRfN9jKraKBZ1Bpe2W3ytgBdqphr/IOhzWQGNrWg3dOkR8vFfLOSs1PsPFl0IuxXzm1LAdgOfQEg6BBU1X9oIcqP1GQLiseDxJ8FdgMb4+WZD4UhW4uh6AM7wodqmEdyjw/odBEWeO+V5YOH35X61+4srShMt0JSnFCZDgzPeQtN0Q4CKsQdpd9e0jh7vkzG4CwAvw/nUGIEW8fskCMVPHR6ViET9wiRWS+F6ieop7yOfnMwCfw/90YBTb+g329FAib2XUf2owDx5Af5Jj+LqhpnaLxkTrLKArnoqmXwrMGgBLOVFfXAvX2VtF4pIMqKE65+HSCLZm36bYm6gWtRm/Uehq0ZgBkmm39Jl++VjrdtZcW/Odpr4HpMXUnnwxEX4N91BsIY1wp744K0A1apNwcOCGHrDOBRVdCZpbDYUThCnGAxbiYhwDPA+bI1I3GTev0vl6kGmd53iMp+JVC5m4l5ZJLT2yeJ+ncNZ1au3bSyJHTybYmpp2XAeYgMkIIGNrYBEs+OynsyttgTpPQJcWtS+FAhQV0NdtYOsQK48P8d41ToA7tcmArIDvQ1qtk0vsxAeKMU4rsolepw3OXBtsPUGAkInRqMjlMfgfYU9DTfkDpxfeW/g+MUZjBuRloMbEgEjsqQbw6xRPTgyeVE50jFNF9NIBxAxgX/VI9+tWh3wOTeAbsiBNkyvy0HzihjESYNhZ3K92bQUSq+ih5VXYGUwGpJq0n0KfxBrUYtBLTMAQasJ4iOM0zDcz7ZaYhDBpAVwtoYPxKCg0G/yfQJiJcT7Qrok/mq/wRIg0OowVjlGhvOqGGwZcAMLe0gC+cspmvDHiQYPDVxHR7k+qmYXv5Da2h4aUn00N9ai6+TBoaGuJPhrZWquoxgBfF/t4J8GIn/y/hA9hyFmDL7MY1RguzeOugF0Y4FbPCDsrloZMq71VCtneuUIf3v2nGkG2S5/zSFSqvB4bEAbZl52Lo5LtqQMjfkC3ArtvrPaKddHxAbzfo5e+vgV5N0psNHOqkZVbfTP13MM+g5T3WcSxaXW+mS4mRlGiKeKf9gCrWJQYC9BRzPE7by0GHOW/xGN3CNy176ujnwIM4o0DCSXrtXcwn94+3awZgbxbp3Xer6DefvwFdvUvggzLwscR8bJi9aYFFMddLlw8d0MR6M2npH6P7G9Bm0QaUCofmwAltxBzT0CG9+m2q/LuPy3qygE8rvBz+GKXFuE7X/gSVMw2S8a8DmGo6GrPYEAQ81Tp5HTtmeAgIDbPXPOHqJNeflmPgMAjO9vCUFKrtIb0rA8DxwQSF5sppqtWn8wa5ECMqN1+OY5MWO1SUGkeCOm/eaAsAow8AxuoU7ADTsAVRllnQENOl4yAqLvwedlb0XIBKoOPxrt9613QmAhjZNBgp/UfM/s+hf5hyOFKWYcnBp8mWGE/x0CycmCk4AXXCCfBQINDHaSrdxOlwexkh8FCYDRPacgqtEbx6/DBReP8I2pjwiUJkEB9sovPecYrEqmgLsEELsWlq64vS3iMRilVtIc+5KitKZcs6HSy6ojIDDzIK56P9eXAn0pmI0pHIOIEBCsxL3aiID9KWPi+cwRhV4fm5aNzSo0LmjnVlReTi1MNcesKTi6jkNWyk+6Pt1BbdC550Gpluoy1wyHsH3yJYVCLjFxfiU7+TbV15m2Djs8ktqkeZrXHqklfqUnIk6VeCwqhfhn75w9ChKPTNQ2p8eijRVN+hnItiC4AqmeO41zkb/63eY0qkZZKiET/rhhof2pLw+meVGlT0eFVSY4NNifPeMeUqdGqb19CpkzHo1FWKbdxKXqFTNp5ZVKOoXiWCE/MkjLbfA/1v91Jn50ma7BhO+oPBtMoU6KIaHfAlvZ02MJd1+YJ3jK5EN2LcTlqMoZ+Tp8j71hVKDl+mdrWeOk8MUn1dAIZH9pnCzxXwo4CfQfAzSoqvAWvSlRNLpfUKaMXGD1oDh/tob8dI0vveAbrg+SCFhiGLBrTdirb1bbQXc2HR4OQfhrW4PsEX8h2Hwdedqx0JUoLSsCINstXTrUaaL1EUfN1QSHtpcMsTz/u6WsN8uXIxonJG9ahiDtw0LI0k4kPbDL7knLJsh05Btm9eocTwDB3S/IKG20wDVWj3dxxLJo9yKkaCS7eb4NKHH1LtwxzWA871LXxdU8XA7NQ4iNyreH6r6KeVoCEOGvr7BQ1LggbI4d0hul3XkWgIBkUqhdMr2xCNuXrwIt1J+DnCqGF+n1TuhqZeTCS2y3YabT9GyV9zKgb0fgp6TUcG9C5moDc++A9i37Rowb7Z3h+nPaAlWvVTqjT2Tccen9imedXIK/100ZDve+2VQm/2QL5BVdIbn/wddK6GfuXKxZh8RMDH7c9NPnxPKnf9QX0F2JkuOASiGoX5eJtTMaPa658+ofuPNQkOBR+mJxB89dmlbZpHE7Tc/pz83rv03qFK6nzzJCENtWSmbzils83brYkx/9NPN1EFAx36q/ffSNuMPOWGDYixLGaZS08V1SAKc4v33Q2VaY0ckRD2OjOXQEqjEqBZhIZXKxyeLQrDFNfthe9kRTAkD2Z6yM0RYwd8iBqYxloaajggMMoxR+Sion4/+VBtMe8wSGmbrFEx5H53UzWiNAYSM2v/wvtLN9C5+DSrkMR4iJ6wrNmJ2ORwCC1FNiJIAiiMk7HJbwUm3MeN9tfbTlKBMmAcAyJDRJ51wgEN9563+p6jWuqpfcB9usSUGjlL4cEh7+XITOBBwGe+whggspXyWmx7LnmhwkGpLZ/Dc4/gy6ywKXTuVk4uGfQwi55Mnw+LU8C5hS6aDfvV8gc9ejD4y2S1ElbCC3F8w5uy9EIEHsSQj60fnKKpEw5IFLrEDgIcfv0npHMFhGX1rVQOsF5+r5X2UbtafMkoYqyzHWidIUwP2aH/bjgL6H9YOiDSkEPvFeg90PxstCdCtWr53FlSPM+KccMnLtDk1WECzk4NPdihd0OnUG4pyOY+4RwIBySKcj92ApjmTXoqze51av/dCgAf0QiTDHzIejHuOjHu/ImTtEeMq6j4mxH8ikh1wVHi6IYcm/lBGe5wnTG2wQ8aN+D0xZEOUxSptJplu6A1adNa8cZVdT1kYtMAI3N1RNAg+KpC29lbCrYgOBs2/7OC/+L7tPh6EXwZ0Q0T2Cn6xHpkB4QdkwbMEysB8xVALsYEpcr29apJA5ftgtYk5oBlxrKj/3rjqga+kop3nXg2f0Ly9TXaKqQ/Ee1AQ6UjwiL3vRYBsn7EvSwz9YM1qRnza9CA+b0C2QK7QZQ0aLDTGDK10aNGNvfTHegrOyDCMWmEHTh8jW7BkRr9yGv52/HYl9hFCgOETqCKxUnLKHT8IuThZxzJ2e3JYzse0oe9xw0dZzp2CwcEThpH14R8X9aTCcyHkK/5EXgQyMyDw4VZGGPxwe87+Xj5R9DoP2DdPU/3y21wxt0Y0iXMB+T+GJJJiaYEEdlA9YpJCzsWx0MTiU3J5BIGRmv5gU6gXQ/anRJjcju++8OpQxtuep8a2Gw7IdPnRXnuSuNB+MQsfyQve0mDle7JBjw0DKvpMJjGw4eQ8ezsAiFAYgoLDkcrdekVMMryGQObBF9d0qg7Jznf/7O9O1feoyB9krP/TNUR+fiU4yEMPi5pbWxs1GN9TTilcmbBdjTEwNN9SDkYIGInXxlwPcXKwML/dLnGdAgsGy+rJjMGRBc8f9KhTsOQcPSMTtM4DNUE1DEbrdkqW1ZDLjn1BI5FFwyifwTWPM35M3W+MQnsiMKAcWx6FnYkPnQcgD7o0hg2OmxusXg8senejFIndAnpD8P44iIMqqrBsgj30umonkSARURH5sprVZo4ni0IQvEhBgzC9TmK0C+cBTNNEsemBxddVEs5PxytYaek9ShAflnKXLnPMMLSA6BZRCEEzZ8p9aC5ZTL7e5wSGdwKGSA37YyqiPUvomgIaTvGxaFKgOx9KKMxoxtSF5gfyMtBn5yfauEAp/Aj2pu0KpLWr0Dr+0TNl2CAHOklk4bmo6nP3fuPpKGG+gX/xfcp+IKMayB8M7pxl/vEPDVjnm58bKdoRC6f+XqeCIUxllMg20sauP1LL9198sxXn6n1o8wXAKXAJpjpgruXpGybIdtHZt+GbJ3RC5Hi2MrYjoaC8SD59mbzeyFb8HeQaQBtIaQyWA6cxpByMO3ACehrkprffoONqPZhjvtQbCxKcYBQGbmAnEDL4yxAVgm0RcpmTNIBxXkCvVF3jSp08KL9nkVDyx7a5cCDyPflfDr5kE5TDdadQrMG8IPTLMDUaCz3THiQu7zekpKWLpTX/uNLd//6zFf/oUlaztD4v6sicnJ33YylQ9zOLMN16tDjZQB2LCck1wldnkQzl2E2rrunNwkMAedPscGPFG/sEXs2ojD26T2XEorFyqmVvefJ458nPkkIu9zWS/OMnXAYK/MUnYanzQHC5b5sHEz2stBcbWQ1x2lX+io7n3ZfHGkXvpI+MzND1dX7rVRLyiZolMbux0nG8IfE15nmsVgZZG2fMinpvKyKzIy0my9fLiZVONLIuOqGp/vOUXVXRDh4xc8dZ0hkRCY3Nrs4ueTWk7dsZ0FOrsEXh6eN3EB8SmBHfPvtZ8IowzHhTHMAHgI+ySY47KYuodDAwjbgFKYGx6eSC011Crf1tU4mkcLiaFJa2sMUsWn0OfrCpYMi8mB8GUNUhvWegYTOIIp4LtobkQrXArccCWywnQhPIAuf5EMG0zwZu4q0JKlY11nAuTFaRPc1/XyPhwMrgzGEfHXXuEa1S78R3YAjJp0YVzumachybmyCreeZaEV4vc6TivEQvCPCcgS8O2Uo+tZfNByceHLqI5x80/psECmRjH1yZMHRJ8VuiWqXU0Z0oyF4F8a/W+UTvTMCwXgP8VwYJ7swxnpu0ABaE3IOGugSaHh0IxVnEhXrwRXdEGlErmZBOtQ6kGNNQEdrTvkRHXk6gKVLXaw/eX7hYqZGWFCxwdVMzooak9a0UlfRFrATRO4CFu4iKuwR03sTDsCHBQJCzchFtnJay7GgJHVWikBDoqamhn70o/1GWsZRgYN97yN4NDXIxQTQkDMd9vvNaSW7sopmQKw7OxASpUV+fNJvp2gMyVkOik3L0v9YtHzOc10GZzNhtiPgWpzRFOv55n3LBrwKJyTXCd35nRsPYpWaxnSqI+AHgJ3w4NzVYwE3sqmO63mOKIxoWeEVKawwQCGRI5waIoAm66gidt5e1Jxvn9kPJ6gCRkY+tmm3sQzmCxzuzg20NU/TuU7gRhtfav8yfYXu3dUcOfk0x7PBlJLWB4z1SBNkphSFGSFylrIWKwO7EiVP5CEjL6sgszzOYkYNy/COwH7c66Ja60K14uZuReTyFHpinuSYTxP7MYAN3kqTxGF4YJpbUi40i4tNn4G5QD06KmukLhlQEkt0oYk/qiORWHLvYJ/Si53YA3zIpAOnkC7jVNmZ3zMGBTAHRW/BLmBGWsQ65FSHouitexicl+XmV+lI6K2TBs2mwyFpznk1jNBFmCLXpW6WY+MaV6x9OBx2dMMY27cxtRLCcIClc+O8pEzyn5FWlAc7abUcFrPKyXSkjL71lr0iMqRTLIE+UeFk8G85XA9pLlufxrtmFGr696PCIFvRDeDlRESf9c5ZhXv3ksDTCb5SQKlGe6Zh+yPH5WUP6TpocH4sh4VpcIBGZRoRNMCLfWRvtji9M74Uhh4Ps0EH0vQM+/6LYt/HKbM8va7DNMrkomHqAs+vncaAk2lU2ch92vmRbV2Ru6kLgFEiulLEBWFWJUtzauQidTTp3CCkBPnWOwC5Ur7XnY0dzpF9QYjx/uZUPmBvgHWBDnEVjRMginXBUZPXXSkaOYx0UAQt9x87QKXuuZbt9M1YG87qGujQR+Bl88l6RFGAQXEAWDMYK+xRoAPzjyrdtI8RCckSvhY7nwEAdRlUadw8AnjJgEheeEcACg0HztMmF4Ayo6FwPMx/sZOHqgTQIUqDfQH2QGSVTGMV1CcsAZQA0HXphUVhbCehy6q2yUdjod8LuaCahD/uao78fKaPIvvrI+9I9tSItdYRCRKQ4gKwO1llYJ22c6NAn4aXbDLML7N80YfUnt20CV6b1gGYyqDhPGnBLHNnRyFWRi75ecbG6ACaSuzGMQUlYwI/YEYZrMhXAReaCaPc1qewLnF1jR4fSmxp0hWu3sJHnXtQrkemWsWtoxemkf7wK1nTMe65lH03KVxR0IpwR9gZHgHKn4P/HJlyOlWFrCnRbztoPiPxHM4qEvP9rJeUidMkjC2Ac2baJZNjAicpjRThPKBChysPCr2kTL5zUvGcOWPTajoyTINjlOl/AsaOK3QQHsGOlvVTaJ+Ws+M0yBn5QhQEVS8Mmyr0kjLhcLT3qcwX4z5EtYnpyAi+bgj6pWPSo7qdAjk/SBUUWptrSYP3fXhPt6LAcXQkJH7CUaZqRQts4KoVLXCkMfAso3xN451sfps6b6paz4eybzu1UYiGGm2MShZOAfF8FuxoCbnBSWo/KeQLHZeg1AIxKfLd11Red1xF8+fHmFoD+CHxIKkpmnwciQjHoT7N8y//Sl+rKvyD6Qxrg9sc0OTa4EvKcudizPnfiPlnXKr7rhfhhJi58UwEZgOAmikU2m+/JUtx7PSIUEyzlDNLdYz9tqx+GTHLRFHbkfYbIeEABQTA1I528Pthf68ou3RjBrjyhgGRFD5Hk3Gx0cIp5goKVLtwRQmAWnNZjBLfEru3lfRwGE5VDFUpcHrYcIjS2apxgzbDOWJcCpx1y2EAkHYWQFqWBpeGNp33EoCRBh4lM58Zx2Na4ejN78fvpbjwEB7hlYXp/PSIJbPzm/ZTK8add6QhipZBgZEHZyTGg5RcH+aLx1ppmclxZFEXp/54nEylytkWF1cLbeljB8TtoBY5d8uQC9MmpqsAPYmMeFDKLavRFrCxkddDwRgckC11Shin9ykGs8FhsDAYApQq5RMbbEv2rTtCilKhTrdSArqrTAHnAacFDsflBHRJmd+PElZOWXCp6U/u0bXZMPVN4yZkNNJ1lMYONiFFkI7pSJWvIbuI1HuPJ87ODXmh99dGpd7HpgeTB+5toki4Tg1uahMGuMUAq2YCJUL/1T0tejIcvqBcitaB5qBK8elE+1av8mUDSjlzXJduplz49B0fbE9+te5NGunwqEFUE4lgfUqExIh64IidjE4nh167R9Pv/D1txPwokUWLHxgF8ux5ka6hlJP5iU4PJV8z+EHyqXBakSJh3nVsblHdk/TAIE4PoUS3mw+hXDZsOVbqnmbw//55ZfII+EfFjsX/Phf/Rp/N4MsGyxoHySrE+H/8TOKfB78CXxW0sQaDG/PU4ImzsSPPL14U+xOa0o+fGUoMfoV5+tnXGkoRNdCQCI+eVyePjCQekaI1vDT9pH2rR/2SaXBGTcQlVRzdcN62ypEUWEMHDZ4rZ4je+4yJgD7rXKKcmHn2K+rV36TIek/Ouy+wn2iN+zYnOjs/UqfiwEDI1KL94TWZFmExogUbWQ7TUg5dz5MH862EPyKzH1HiegAA0c0onwXYsh62OxV2dU3Yow7IzKS3A/Rm/e2WjJGLVHJDoevaL5qTidHRC+rFt/yJ+oaghvAm5FsJ+S5SAKkqxrTwWzK1I9d1fKg9wTqt64rcR8x1540n3hPzWYV1FxHzeeKZoaXXMZ/P/e/XZbR1Bk+YD50+3Bdf+uw9Kff1kRv4fZe5sl8cTC6FRy9oF2+jCuamWoa5/uuhbV7tT79apPJPPpHRjeCrQofk2tBpn/cuHBCMuRtjYm24x3T/RgxsInApIU0/eIEOv/OJiLhIoOsubSRxkPjiujLpJBg+ethPM6djumn8c31ninclfsujoqOLWs/xRojrqXE68LV2paRVLEM6y5UgDmNipGlm0T5bmW3dSIymCOBOA2dx7Bj3DzyJo3IjVVXsv+pGpqh13o93ZcnyMWA0WnF3Qq1xtwjTFRw/rS/gDgduw5iYriNAaFdMU6svLPiZt+4TQXVGHj6Z1tNOWmf4zo9YxrtMUvriu0HG4YzE2hDPBRjRhRMpRgYyTZU/8lAHb8MXDgOAN59yh8lKyyzbONnmjJ9LZzhMgaYttMDzVT6huKt6ip275ciFN7dC9YRPHgtc8TRVRed7+YRBSVRhC93iiinGajjvytj5S2MeVDkP5v0fO4OGLhmYEEXcHxODTtr3g1DFi9SCnP+83xiH93huh59sCDBuJAsGQ+BIxk4DR9Kh1Hvdej9KI9jR55FWGeMqE0REpttk+iMbHsScS9bTAeUA7UIuB7YlybQMdEVpGHeVZIqAWO+xLo6GYUggA8d9ItP30seVzk4NnJ16RZ1H2mlMRljqxgYSiwc6DX4G6OhbOJV6LmMdp/PD8ynWqpvWo3do2O9JoZVTJFTTAr5O4L6Jenn3hA9/A2PhcEAEK3Vh9KmC/0rwrzP/aJetTxceRPDVDL7er1e0Wy3gC9UqMGod4wNPFps61V2oM65pAV9HbL7C9RrdQuplTFbN4IQaAl9x8NVk0pAwafjZoxtareO3Zcy0ixNrAhrgxNTAiUFNq0kDTvYVbxx90nKuXuXxRnl/bzmKMVGrhjGz4K2t5c37XMthlNuevEz69kcpkbnMNLCh3wxDv0vQcAlyEBUzw3eeTNIBtf4FjZI6V0cxHSjVBe/uX+MVY368m8K7QS8iCTUt0h7lotdMAeW7Xt1v6Phu0IFIQkLoRtdt+plf3lNiMu7fA51+f5R2a/PUDJ3m+0OO40f7gh/0JxZe61R3vzBKm5txNwjmc6dnBuv4fUHvPNIrY8M7GbRKz9Mz1PrRLhrZXWbxMTZcQTc7UA1lzPUA9G33C2VMyxLT0g9a/ubRDeBB5P0godBvy4Jj/UuLBw5rcsx+a8xWjMl9m2MiUoX2LugACigOz26mk+/XIQqiinHdnzK7esX4yoFyzPWd2VF6iatEkptB70KqYzgKUI47NHpQXik/c2lhc65I4SIbRDssHsR7eNiTI2Ms7iFB3WaP3XnG/jMZtXS6+NWJlKZc/mnTbuev7Wc2L/n4zETrA9d4ApuwpZcGG4NgCzIxZMbXpmPT5WB4WilrMTLIJOeMskHVUy1kL4Z36kzaXC5TZlnGyUST+SxFb13yc75XzNwtWy5F6El5bTl+H+cBz69jTWQqj8Ym8cdy1TkPohBNbB4TqlvvWZfM70WbiftqeW0tmtXKebS2gHTciFve8l2TPlvv1+/opp4d3Po6Sm+NLHd5j9oNuq4fd+W9XZ0KmtfvoG7Zgfg8BM05MmiSV9wTsgMDiLcenqUeY4vAnGUclyt/uo2F48jFqzbtdo4+Iz+mfN20Xj9LIUdi38aD7KXOkbDaU24DazNdLW/x3+3g39Unszi3AXx1p8tzbgNfWy9n0sRwhBZJYx5kl6l8yWeOeRJ8/VYTc+CiwX09BmSrCRqM0lNzviBbPHfRgHJPm4b0Md265fybHZvhSy2J0fpdavPepcTGjfYP2GWj4TpoOGbQ8AWwFl/IDgVfxxx8uXk3x+WIxXrcsdG93XySKqNM9F6HPI5BHl9AHsZ4Gdni6E5G+aYAQjAP18u17ehQkOC4nwR7FmjDfMovLCyJTe8XKAeWFGAZlD3n4uPDXnsgdjDoue2Ya4tR+gv0zZ1K4h+qs/v5izWm/cwe08m0Wdq7+eCndA1REDNKwlGY54KQLxp/caKXUm5MzaUM6d/JkCyDRbFnio/I/XyHft+jOH7XRutpgF/CiJfEXJfGmRgP8bs/BZeyrg2eSlSUJPD9lIBMkQhMyveTwW+EKziZWmKyJbGtfpuqXBpL/HwjLmErsGLlGyGwNEiaBAB7WDq0Db+g+/qntB7AV3eaxvnCUzshfLpu3O/TAwxEBWZC3OyJXLZv/3jR93GU5rBICczaGBd+sxHAyza+TI7xMh2peJkiey41L0mgJIGVksD07wVQPBW7sVKd/7D6YUfkSvRI4vJJXHWu70t8MPxOWhrlhyWRtcstsHtL2w7c0379G6R2vJ68P5j31E4Ii6CiY5ymFiy8hfw9lZIRXFXtMPEdvXwpjXEzKONcWk8D59Jh/5bNqhJR6rwkgZIE8kogHuVLx3UaPdGGS6Tsq9nzvlhqkFECoQmZytiBNMRZpPZKn7UpgYkH5WXbkeq7/uHZggj8f/8oLgqFepApAAAAAElFTkSuQmCC"></figure>
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"></figure>
        </td>
      </tr>
      <tr>
        <td style="border-bottom:1.0pt solid windowtext;border-left:1.0pt solid windowtext;border-right:1.0pt solid windowtext;border-top:1.0pt none windowtext;padding:0mm 5.4pt;vertical-align:top;width:522.8pt;">
          <p><span style="font-family:Arial, Helvetica, sans-serif;">Testing for Homogeneity:</span></p>
          <figure class="image"><img src="data:image/png;base64,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"></figure>
          <figure class="image"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAM8AAAAXCAMAAACbMusvAAAAAXNSR0IArs4c6QAAAJ9QTFRFAAAAAAAAAAA6AABmADpmADqQAGa2OgAAOgBmOjoAOjo6OjpmOjqQOmaQOma2OpDbZgAAZjoAZjo6ZmaQZpDbZra2ZrbbZrb/kDoAkDpmkGYAkGY6kGZmkJBmkLbbkLb/kNv/tmYAtmY6tpA6tpBmtrZmttv/tv/btv//25A625Bm27Zm27aQ29vb2////7Zm/9uQ/9u2/9vb//+2///bAHN3qAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAADDklEQVRYR+1XaVfTQBTNhEJE6QbSRluV1DYSxCx2/v9v862ZyRCK8Zz2+KHzoRvvvnvfmiGKzuecgXMGzhkYnIHCmOlg0AkBqm8/M+biMZK3AwKezPKE8oZTFaKvnl3kgN7z2+ungKj/56P66oT6qE6u+tVWEkd2WZ4kHOUbSqb6Kq6Tlit008w4Dpu+Eu9Q3jfslW+o2/1M9HGdbBo/9LiwqcEDFayTZT03EtsmMfFHMrfbJH6wGxOHw9XcGnOzuynZYIUzCtY9wG/oplkZEy9QhvKxGAdAf+PdmP1h/ulVWUgfI9iDEakSU2W0GlK+qIq/TEr+UieXuf3MbVgs6mSxzm0aTFeVXJVQ8ykZ3N/lBWaiB7in8os1Olc+EuIAHX+QXpt6OBwYjg/3QN/4uHh0zDIzETKWkGkAdfIBIsu65RWZEv6IN0kfkNqE/8CD7K8dB+j6g7g9HGdA9bwxPpwHzAfqpyTgy69Nu7158IJ4+EfOWTuZfUAKgi3oo/JRAhxA/FEOySvJ9lja8ZZ8qJ6f77pbWcrH+SAyatD3d+1yp71C4VZtjaT9eOVo5l4AUR1h2IIkKh/nUJnYn8RKXjEon0W2tNqIaX17Hc6B1EHIqDk6i44TE2x7bSD8U2vfC8RQVGebdyqOz/TCH0H8X3XshET0/C7D7a9j5orMCLuWOnJisLyZuxARk13RytHMSWBdIGWD42EJyufiQQD7S6UtsdOudeyERceu4EUmb1B0rk+7D6BF7RYUU0tAczxP4GMeNXO9zIFlab9zq7Q7Gzoht+udWYK5W1ghkMe6+fSI2WjmtDWUjwrUAsQf9XNlpnZ7nwLuh8cC+p7gCVLxw0Xe0DqIZz838QRLy11l4DM8TMzoq/RElI3wKxLV3ujBo2qcAxbM20UYAolpY0Y5PGXg6QOm2GPMx8cxkT8eR/gR6AjnsVSJPBBVl7wPvW1414bqyBeif7qhDI3H20fZkS9EegMIKnD4qz+PfwN002HT6TPdXY51hkqjWYMz6P+CgmcHzwZvEEc8GY7M4fMHXhlp+mY3qdMAAAAASUVORK5CYII="></figure>
        </td>
      </tr>
    </tbody>
  </table>
</figure>
<p>&nbsp;</p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Test statistics:</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Where o is observed frequency, and e is expected frequency.</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p>&nbsp;</p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">For each cell of the contingency table, use</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p>&nbsp;</p>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">Chi-Square test for goodness of fitness</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Setting&nbsp;H0 and H1:</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
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"></figure>
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