Statistical Test - The US Supreme Court Gay Marriage Decision.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "On June 26, 2015, the United States supreme court voted 5-4 to\n",
      "fully legalize gay marriage in the country.\n",
      "All 3 female justices were in favor, as were 2 of the 6 male justices.\n",
      "All 4 dissenters were male.\n",
      "I wondered if the gender bias was statistically significant.\n",
      "In short, it is not (p = 0.12).\n"
     ]
    }
   ],
   "source": [
    "print '''On June 26, 2015, the United States supreme court voted 5-4 to\n",
    "fully legalize gay marriage in the country.\n",
    "All 3 female justices were in favor, as were 2 of the 6 male justices.\n",
    "All 4 dissenters were male.\n",
    "I wondered if the gender bias was statistically significant.\n",
    "In short, it is not (p = 0.12).'''"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fisher exact test:\n",
      "p = 0.119\n"
     ]
    }
   ],
   "source": [
    "print 'Fisher exact test:'\n",
    "from scipy.stats import fisher_exact\n",
    "odds_ratio, p = stats.fisher_exact([[2,4],[3,0]], alternative='less')\n",
    "print 'p = %.3f' % p"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Samples too small for chi-square\n"
     ]
    }
   ],
   "source": [
    "print 'Samples too small for chi-square'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Permutation test:\n",
      "p = 0.119\n"
     ]
    }
   ],
   "source": [
    "print 'Permutation test:'\n",
    "import numpy as np\n",
    "genders = ['F']*3 + ['M'] * 6\n",
    "women_majority = []\n",
    "trials = 10000\n",
    "for i in range(trials):\n",
    "    majority_votes = np.random.choice(genders, 5, replace=False)\n",
    "    women_majority.append((majority_votes == 'F').sum())\n",
    "\n",
    "print 'p = %.3f' % (sum(np.array(women_majority) == 3) / float(trials))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x107a49dd0>"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAi8AAAGSCAYAAAAraCFyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xu8ZXP9+PHXNC5dZlxGE8WgZN6kQrroV3zpQjclvvJ1\n",
       "SW5FilQUlSTXChUplZguX1K+cisK5VZ8fUPSxdstKoph0JC78/vjs7bZs2efc9YZZ+9z1pnX8/GY\n",
       "x+yz1tprvdf6rMt7fz6ftdakgYEBJEmSmuIZYx2AJEnSSJi8SJKkRjF5kSRJjWLyIkmSGsXkRZIk\n",
       "NYrJiyRJapTFxjqA0RIRFwEbtg16ArgP+D/gyMz8Zdu0OwInAs/NzDk15v16YO/M/M9hpnsS2Ccz\n",
       "j46IzwHvy8wXjnBVOue5FnBMZr6x+nsj4JfAKzPz6qcz79EQEUcDOwOTgLdk5uULM02/VGW0b2Ye\n",
       "9TTnsU9mHj1KMa0EnABsl5n3RMSqwC3Af2bm6aOxjH4aje3TuZ93Hgdjpe65YBSWM6r72HhV7ft/\n",
       "BTbKzEv6vOzlgNldRp2Wme8ZwXxOosQ/onN9L9a9ug7OzczNaky7EePoWjJSEyZ5AQaAy4B9qr8X\n",
       "B14A7A6cHxHbZeYPq3HnAOsD99ec967AzBrTrQ/c1hHT07UV8Oq2v6+qlnP9KMz7aYmIlwF7A18G\n",
       "fgJcuzDTjIGnWy6d5fx0vQnYhHlx3VEt48ZRXEY/jcb26dzPO4+DsVL3XPB0jfY+pgWtXf3/ZmBu\n",
       "2/B76s4gIjYB3gfcOnphPS27U3641zFuriULYyIlL5OA+zLzyvaBEXEaJbv8RkScl5n3ZebdwN0L\n",
       "Mf8hdS67zndGKjPnAp3LGSvTqv9PyczfPo1pGqVLOY+WSdX8H2X8lPGIjcb2GWf7eadRP6479XAf\n",
       "0zwvB/6ZmRcuzJcjYgrwLeD2UY3qacjM2onIOD/GhjWRkpeuMnMgIj4PXEj59fbtzmajiAjgK5Qs\n",
       "9BnAb4BPZOZ1ETEL2AGeqsrdGHghcCTwBWA/4AFgzer/+ap6I2IP4NPA0sD5lCrn26pxs4D1MvNl\n",
       "bdNvDpxeLWMn4LNty96RUs04X1VfRLwb+FQVwxxgFnBQZj5Rjb8VOA54EfAeSrn/BPhwZj4w2LaL\n",
       "iJdX69j6xfvTav3uqprFPlsNvzIiLs7MjTu+33WaiFisGr4jMB34A/DJVtNeW3XmG6rlvwy4Gfhg\n",
       "Na9jKb9+rwJ2ysybq+8tBRwMvAt4PqVm7WfARzKzay1bRDyPUpZvB5aolvuRzLx1iO3S2Tz48cyc\n",
       "2jZ+HeBqqurgiHgO8FXgbcAywJ+BQzLzJ237IsDsan7fo6PZqNomnwfWpTSH/gj4VGY+Uo1fD/gi\n",
       "ZR9+EPhhtU0fGmQdNqJH27izaW6o/agaP4tyfDwEvBO4gHI8/hJ4FbAZ8x8HOwF7AXe0V49HxDOB\n",
       "O6vtclzH+r6v2s4zMvOOtuFfArbKzFWrvwc9lrqcC1rlO+Q+FBGTgcOB/wKeV23nYzLzm93Kpm3+\n",
       "7fvY24GjgYOAGcB11TIGbYKNiOcDhwKbUo6z2ZT95pNVgtztO7PoKIvM3Lw6Rx4C/Ec1/g7gO5l5\n",
       "SPW9jar13pBS1q+opjksM7/TNv/XAEdR9uNbmHd+aI9hw2pZa1dx/BjYLzMfrMZfBFwDPErZF5YE\n",
       "/hvYl7Kd31t975jMPGKw7UNJXn4/xPjhHAHcRCmLzYebuOa6D3scR8QWzNtH7wS+nZmHV+Muoq3Z\n",
       "qNrvP0E5999N2Zb7Z+Yj3ZqNenUt6YVFpcPuJZSqtNd2joiIZwBnU7bFeygnmOcCP42ISZQLxs8o\n",
       "O9v6lIsSlAN4m2r6j2bmv7ssdyXKjvNxyoX6pcAF1Um2ZbAmjAHg28B3KAfi+lUcnfF/APgf4ArK\n",
       "AXQspelsVsekn6pi3hr4TBX7ZwZZdusCfAVl59wB+AjlxHRxRDy7iu1D1eQ7Mu+i126wab4NfIzS\n",
       "lPQuSrXluRHRWT4/qKZ9N6V8TqVcgI4CtgVeQjmQWk6mnHA/SakKPrKa7oBB1vFZwK+A/wd8mHLS\n",
       "WwG4JCKW6fadQQzXDPVVStK7J/BW4E/Aj6sLwjmUEzWUi8wJXeJ8NSXxvZeyjx4I7EK5wBMRL2He\n",
       "Pr4VZf23plyohtOrbTxQxTbcftTy9ur/zSj7Rft8Oo+DnwLfBTaJiGXbpt0MeCZwSpf1PB14BNiy\n",
       "Y/hWrelrHEud54Jrau5D+1P6fH2K0jx4HqUmeJMucQ5mJvA5ygVvS+BZlH1ocreJq/PaecA6wB7V\n",
       "cr9P2f4fGGZZ85VFVcNwEbAspQzfRrnofT4i3tHx3R9SLpBvpSQY346INauYVqX8iPx3tQ7foeM8\n",
       "FRFvpWzP25m3r2/LvPNxy87AGpTz71GU5pKrganVvM8DDouI9YdYz5cDz4mIX0fEQxHxt4jYZ4jp\n",
       "2+PcgHJO+wA1auJqrvuwx3FEbAmcRml+3xw4BvhcRHyybVatY2/Dajk/oJT/oZTtdOAgMfbkWtIr\n",
       "E77mBaD61TQHWL7L6OcBLwYOyMzzASLir5QCmZqZt0TE3cBDrarccs1hMiUjPX+IRU8GNs/M31Xf\n",
       "u56y021NOfnCEDt+Zt4eEbcDT3Ysm+rzZMqF75TM3LMafEFE3A8cHxFfyMw/VMP/lpnbtk2zEeUk\n",
       "tN8giz+AktW/NTMfr5Z3FeVXxs6Z+bWI+HM17R+6VVdW8c83TUSsQWkj3jUzWzUOv6h+JR4CtHfI\n",
       "/GpmnlAt+6vA8cAOmfmDath6lISg9at7cWC3zPxF9f1LIuJ1lF+L3exAuSislZk3VPO5kNLXYE9K\n",
       "DUMdw528Xg/8IjP/p1rGb4B/Aotl5t0RcUs13VVVTeCqHd/fn/JrffPMbJ2Yngm8r7pIHUD5lfu2\n",
       "trK6kbL+G2TmpUPE1uttPOR+BHytmm4y8MG22puNWjMY5Dg4GfgS5ST/rWrS7YBzu3XCz8y5EfHT\n",
       "avpjq3msD6wMnFL3WOpyLtiN4feh1wO/bW3Taps9SPllXddU4I2tptcq3jMpF+Bruky/IqXvxl5t\n",
       "54CLIuItlOTxa12+09JZFusBNwBbZ+Y91bBfURLeDSkJeMtXMrOVVF9TTfMWSm3jXlQ1Opn5MHBe\n",
       "lZC0d54/BLgiM7dpDYiIv1CSkbdREleAx4D3VDWPv4yI3YFJmblT9Z3LKInkqykX4/lU229NSl+X\n",
       "fSnl9Q7giIh4VmYOeuxXx8EJlPP/Le3n5CHUWfehjuPXZ+ZllCThwszcpfrO+RGxPF1+mFMS6geB\n",
       "o6qatksj4hHKtuu2PXp1LemJRSJ5GcZdlAPzhIh4M+WX1c8zs04mmcOMv6mVuABUJ7+/ABswL3l5\n",
       "Otag1BL9uGP4qZSL0IaUJhlYsG3zdsqvssFsCPx36yACyMw/R8TvKReqoU5+Q9mo+v/cKM1HLedS\n",
       "fim1D2uP+a7q//Z+M3MovwCoTgibwlO/cmZSarrWpJw0utmY0in25rblPkTp+P1G6icvw7kE+EBE\n",
       "vIByov9pZu47gu//P0pZPFXDk5lfB74OEBEbU6puaVuPK4B/UdZjqOSl19t4qP2o/SI6e7CmvW6q\n",
       "pO88yo+Mb0XENMpFcrshvnYycFpErJCZ/6T8sv9zZv4+yt1MdY+ldnX2oUuAQyLil8AZwDmZuUCT\n",
       "wTAez/n7jLX6WTyn28SZ+TfgDRHxjIhYnVJWa1N+wA3XEXi+ssjMq4D/iIjFq9qBmZSmj8UpTTbt\n",
       "rmj73v0R8UBbjK8DLq72o5bTqS7gVQ3POpSa6vZ1+UVE3Es577SSl+taTaaVO2k7H2fmo9WyB6tB\n",
       "HaDUDv21rYn4kiqGT0bEF4DHmb914snMfJJSAzaX+ROP4Qy57pXBjuO5wBurpH9tyg0QT8nM/QdZ\n",
       "5qWU2pZrI+JHlPPOSYNM28trSU8sEs1GVaa8LF06VlU745sohbQ5pUrurog4qqOaspu7FmL87CqW\n",
       "0dCaz53tA6sTzyPAUm2DO5u1nmTo8l+mc76Vuyi/AhfWctX/t1ParFv/vkRJpp/bNu1cFtSteQ6A\n",
       "iHhnRNxMqdb/AaVc/83gNSPLUQ7axzpieQel6n+07EW5iL0U+Cbw14g4K8qtmnUsy9D72nLAbsy/\n",
       "Do9Symm49ej1Nh5qP1qq4++R+i6wQZUUblXFcfYQ0/+MktBtWR3b/0lJaGBkx1K7OvvQEZRm0umU\n",
       "pr6bIuKSiHhRvdWEKoZ2T1b/D3oMR8QulF/ySamdeiUlsRrxeS0iPk05d/2B0vfmxZR17pzXUOeZ\n",
       "ZVnwRol/tn1epppfnf1lRPttp8x8MjMvyQX7tv0ceDawOqX5tL1ML6hqoT5CaQJ/RpVkTIKnai8G\n",
       "swxDrzsMfhxPofQva+2jtY6VzPw1pVn+H5Ta2ysi4ubo3lzZy2tJTywqNS8bUNb1sm4jM/PvlFsg\n",
       "d43S72JX4KPA/1Kv38BguiUpKzDvduEBFiz0KSOYf6t6fL7msCht7Usy75a/hbk1eA7dL3wrAH9c\n",
       "iPm13F/F81rKL5uW1kmw9m2K7apflz8GTgI+3+qUWf3iWHOIWK6l9B9pN4kFLxaDGbYMq19bn6O0\n",
       "Tc+kXDQPoCQ0e9RYxv2U5s2nROnrsR7wa0oH3jOAb3R8bxIjv6tuUAu5jevuRwtzB885lG2zBaUf\n",
       "zo8H64gKUHVS/All+19N6ZPW6h9T91jqdB/D7EPVD6SvAF+J8myPd1M63n6NUt0+6iLiPygJy+eB\n",
       "r7U199S5u2S+soiIHar5fJDSrDC3Gt4tyRjK3SzYdN+ewN9HOZ66Ne8/n4U8N3RTNVNvBpye5e7T\n",
       "lmdV/8+m9A05pm3cA5SaviUp14ZOj0XEjpn5vS7j7mHodYfhj+NWwja9Y11WpCSTC9SwZuY5wDkR\n",
       "MZWyr30GODVKJ/N2vbyW9MSEr3mpfmHtR9n4CzzwKyLWjYi7ImJdgKr3/gcoF9YZ1WR175vvtEZE\n",
       "rNK2rFcCq1A6v0H5Fbh8Rw3PBh3zGGrZ11N26s4HKm1d/f/rkQbc5jLgXRGxeGtAlI53Lx2F+U4C\n",
       "ls7Mq1v/KFWmH2H+hGYkXkGpxj6i7aL6HEp/g8FcSrmr67a2OK6h1JS8fYjvtfsX8KyIWLpt2FNl\n",
       "WFW1Xx8RewNk5g2ZeRilOrju/vUb4K0d+8m2lIv3ZMo2XbNje/6NUmX80prrUcfCbOO6+9FwJ8UF\n",
       "tlGVqJwKbE+p1v5+jXU4mVKFvxPwf5nZ6m+U1DuWOuO4jGH2oYj4VZQHNZKZf8/MYyn9VWbQO+tT\n",
       "tukhbYnLCyh3lQ2XKHaWxWuBv2fmt9oSl1dQLqIjSTp/BWzccaw8lbxluVvld3SUQURsSvnl/3TO\n",
       "O52eRWkO2b5j+JYllLwrM29rP6aqPk2tGqz2f6dQajdeyfz9f9oNue6VoY7jtaptfx0l6Wq3N6Vp\n",
       "9sn2gRFxSERcQVmhuZl5KqWD/dIsWJPYy2tJT0y0mpdlo9yONomybitRalE2ALbN7rdyXUfJeL8X\n",
       "5ZbEeykdSp9gXvvqvcBKEfEmyq2jdT0MnFVVuU6l3EJ4DaVpCko19p7AcdWv1zdQqvna3Qc8OyLe\n",
       "SXla8FMy88mIOAg4NkqH5LMoHfg+B/woM/9UTbowv2oPpVw0z42IL1OqPQ8B/sLT6K+Tmb+LiP8B\n",
       "flBt7+sp/WA+BXwxy63tCzPrayhl9sWIOJ7S/LQP5WLbtV8ApVp4L0qnt8Mp5fx+ygms8y6KwfyM\n",
       "0m79nYg4jtL2+9SdV5n5WHUC+WxEPES5SK5PueC37vq4r/p/y4i4gAUvHodREq3TIuLblE6mBwPH\n",
       "ZuYDEXEw8JtqHzqJcsfNAZROm6P55MyF2cZ196Ph9tH5joPM/Ec1/LuUOyhurTo0DueXlJP0Tsx7\n",
       "oGWrU3+dY6nzXFBnH7oY2C8i7qD0J1qTUvvTy6fnXkn5cfrVKM+6WpnyyIb2PiiD6SyLK4HdIuIA\n",
       "Sv+dNSm/4O8d4by+Qtnnz42IQynJW+edLwcCZ0bEDyl3uaxM2f9/Q+kXN1iM3fafoW6GuCUiTgUO\n",
       "jnJb+vWUpsctWPAc3P69f1ASladExGzg0Rz6KbV11n2o47jVKfvzlLvMvkm5jqxNuYa09xNqrfeF\n",
       "wP4R8S1Kkr8s5Tx7aZYnebevVy+vJT0xkWpeBii/qC6n7OgXUar8HgQ2zszTukxP1ZHwbZT79b9B\n",
       "yZxXB96e8+6g+SalLfBsyu2hAwz/S3GAcnL7LqVn+jcpF6BNWp0XM/PnlBPKuyiJ0tqUxKl93qdU\n",
       "8/kRpTPifMvO8jyLXSg1F2dRmiGOZP6Oi91iHXIdqgPxDZQL048pB9/FwOuyet7CEPPutqx221EO\n",
       "zv0pJ6StKc9x+HSNmLsOq34V7UA54H5GOehOpFzYZkTEAk0X1S+ZDSknruMpVbYrU+4IOK/GepGZ\n",
       "SUmQX1Et952UC1N7rB+iPIfi05S7Jnak3F7f6jx3AaWt/VhK34j51jMz/5dyq+PzKR369qeUx37V\n",
       "+FZZTaec0E6g/GLbqO0i300/tnGd/WiwfbHbcfBj2vbtatvcR+l/M6zq12mrKfjUjnF1jqX5zgU1\n",
       "96HPU57dsQel/D9RzfegOjFTb/t0ruevKPvS2ynH2Eco+9/hwDrtNWE1ljWL8sNr9yr+7Sh38vw3\n",
       "8Jph4mk/V82mdLp9kFIGe1MSvfZpzqH0PXwxZVseWC1n07YO691iHNH2qbTudtubUhP2CmCLKoaR\n",
       "GPZ6UHPdhz2Os9yx+B7KD6Czq3l8LOc91+ipWKp9YHvKHVdnUfbP3zD/4wJ6fi3plUkDA+OmCUsa\n",
       "96rO3/8G9sjM48c6nvGm39snyjNwrgBWz+pBepImvonWbCT1THWhbLVTe6Hs0M/tU931sRmlBuAc\n",
       "Exdp0WLyItW3B6VN/HuUvhOaXz+3z3ModwReT/enO0uawGw2kiRJjTKROuxKkqRFwLhuNnr88ScG\n",
       "7r239kMT1WPLLvtsLI/xxTIZXyyP8ccyGV+mT586Krdbj+ual8UWG+ppy+o3y2P8sUzGF8tj/LFM\n",
       "JqZxnbxIkiR1MnmRJEmNYvIiSZIaxeRFkiQ1ismLJElqFJMXSZLUKCYvkiSpUUxeJElSo5i8SJKk\n",
       "RjF5kSRJjWLyIkmSGsXkRZIkNYrJiyRJahSTF0mS1CgmL5IkqVFMXiRJUqOYvEiSpEYxeZEkSY2y\n",
       "2FgHMJQbbriBOXMeGOswFtqMGauwxBJLjHUYkiRNKOM6eYn9T4Gllx/rMBbO/Xdy+b6bsdpqq491\n",
       "JJIkTSjjOnlh6eVh2RXHOgpJkjSO2OdFkiQ1ismLJElqFJMXSZLUKCYvkiSpUUxeJElSo5i8SJKk\n",
       "RjF5kSRJjWLyIkmSGsXkRZIkNYrJiyRJahSTF0mS1CgmL5IkqVFMXiRJUqOYvEiSpEZZrJ8Li4i3\n",
       "A4cBSwK/B3bJzLn9jEGSJDVb32peImI6cCKwRWauAdwCHNGv5UuSpImhn81GmwBXZubN1d/fALbr\n",
       "4/IlSdIE0M/kZQbw97a/bweWiogpfYxBkiQ1XD+Tl0mDDH+ijzFIkqSG62eH3b8Cr2n7e0Xg3sx8\n",
       "qI8x9NW0aVOYPn3qWIcxqiba+kwElsn4YnmMP5bJxNPP5OV84KiIeHFm3gTsDpzRx+X33Zw5DzB7\n",
       "9sS5mWr69KkTan0mAstkfLE8xh/LZHwZrUSyb81GmXkXsBNwWkT8CVgL+Hi/li9JkiaGvj7nJTPP\n",
       "Bc7t5zIlSdLE4hN2JUlSo5i8SJKkRjF5kSRJjWLyIkmSGsXkRZIkNYrJiyRJahSTF0mS1CgmL5Ik\n",
       "qVFMXiRJUqOYvEiSpEYxeZEkSY1i8iJJkhrF5EWSJDWKyYskSWoUkxdJktQoJi+SJKlRFhvrAIZ0\n",
       "/51jHcHCa3LskiSNY+M6ecnDt2HOnAfGOoyFNmPGKmMdgiRJE864Tl5mzpzJ7NlzxzoMSZI0jtjn\n",
       "RZIkNYrJiyRJahSTF0mS1CgmL5IkqVFMXiRJUqOYvEiSpEYxeZEkSY1i8iJJkhrF5EWSJDWKyYsk\n",
       "SWoUkxdJktQoJi+SJKlRTF4kSVKjmLxIkqRGMXmRJEmNYvIiSZIaxeRFkiQ1ismLJElqFJMXSZLU\n",
       "KCYvkiSpUUxeJElSo9RKXiJicq8DkSRJqqNuzcudEfGNiNiwp9FIkiQNo27ysh2wJHBGRPw9Io6M\n",
       "iPV6GJckSVJXi9WZKDN/Dvw8InYHNgG2An4WEfcDpwAnZ2b2LkxJkqRiRB12M/NR4OfAqcCZwAxg\n",
       "J+D/IuKSiFhr9EOUJEmap26H3cUj4u0RMQu4C5gFPA68OTNXBlYAbqUkNJIkST1Tq9mIkrBMpiQn\n",
       "2wLnZ+bjrZGZ+e+IOAt4zeiHKEmSNE/d5GU34OzMfKhzREQ8NzPvzszTgNNGNTpJkqQOdfu8nAJM\n",
       "7RwYEatSmoskSZL6YtCal4h4H7Br9eck4KyIeKxjsucDd/QoNkmSpAUM1Wz0P8CqlMTldcClwINt\n",
       "4weAudV0kiRJfTFo8pKZDwAHAUTEX4BTM/PhfgUmSZLUzVDNRjtTHj73cDXdthHRddrMPLE34UmS\n",
       "JM1vqGajAyi3Rj9cfR4YYlqTF0mS1BdDNRu9sO3P3YBfV01JkiRJY2Ykt0qv2sM4JEmSaqmbvFwL\n",
       "bNjLQCRJkuqo+4TducDXIuJzwG2UfjAtA5lpYiNJkvqibvJydfWvm6E68j4tN9xwA3Pm2M1mvLj3\n",
       "3imWxzhjmYwvi1p5zJixCkssscRYh6FF0KSBgZHlHhGxHKW56e7M7FniAjBpy4MGWHr5Xi5CkrQw\n",
       "7r+Ty/fdjNVWW32sIxnS9OlTmT177liHocr06VMnjcZ8atW8RMQk4OPAJ4DnVoPviYhvZOZnRyOQ\n",
       "rpZeHpZdsWezlyRJzVO3w+5nKYnLAcA6wHrAgcDuEfGpHsUmSZK0gLp9Xj4A7JqZZ7UNuyYi/g4c\n",
       "Cxw26pFJkiR1UbfmZQqQXYbfCDxv9MKRJEkaWt3k5XJg34iY3BoQEYsB+wD/24vAJEmSuqnbbPRR\n",
       "4FLgzRFxDTAJeAUwGXhLj2KTJElaQK2al8z8M7AGcBTwD+Bm4GBg9cz8fe/CkyRJml/dmhcy827g\n",
       "mB7GIkmSNKxBk5eI+BuwTmbeU30eyqPA7cDhmXnuaAYoSZLUbqialwOAB9s+DzefDYATAJ8qJ0mS\n",
       "embQ5CUzZ3X73CkilszMRyLiEuAloxqdJElSh7qvB3gB8GlgLUon39a7CZ4JBLBUZt4AvKoXQUqS\n",
       "JLXUfc7Ld4A3UZ73sj5wGeWuo7WA7XoTmiRJ0oLqJi8bADtl5v7AtcA5mfke4CDgHb0KTpIkqVPd\n",
       "5GUS5W4igD9RHlAH8GNgq9EOSpIkaTB1k5ergR2qz9cCm1afX7SwC46ISRExKyI+vrDzkCRJi566\n",
       "D6n7BPDTiHgQ+B7lPUfXU26L/v5IFxoRawLHAa8BfEKvJEmqrVbykpmXR8QqwLMz8+6IeCXwbuBu\n",
       "4EcLsdw9KJ2Ab2PenUuSJEnDqttsRGbOBR6vbpseAE4HLgFWGOlCM3PPzPzvkX5PkiSp7nNe3g18\n",
       "C1iuy+gBytulJUmSeq5un5evAmdS+qk81LtwJElNMW3aFKZPnzrWYQyrCTFqZOomL1OBL1ZP0ZUk\n",
       "iTlzHmD27LljHcaQpk+fOu5jXJSMViJZt8/L14G9I2KJUVnq/AZ6ME9JkjRB1a15ORW4CNg5Iu4E\n",
       "nmwbN5CZC/W8l8zcaWG+J0mSFl11k5eTgT8DP2TBPi/WnEiSpL6pm7y8EFg7M2/qZTCSJEnDqdvn\n",
       "5Wxgk14GIkmSVEfdmpfbgaMjYgfgFuCJtnEDmblD969JkiSNrrrJy3KU/i7tBiiP9rfPiyRJ6pu6\n",
       "7zbascdxSJIk1VL73UaSJEnjgcmLJElqFJMXSZLUKCYvkiSpUWp12I2IZwI7Aq8CFqfcZdTirdKS\n",
       "JKlv6ta8nAAcBSxDecbLE8DjbZ8lSZL6ou5zXjYH3p2Zv+hlMJIkScOpW/NyH+Upu5IkSWOqbs3L\n",
       "QcBXImJv4Gbg0faRmfnkaAcmSZLUTd3k5UDgecB1XcYNAJNHLaJ299/Zk9lKkp4mz88aQ3WTl+17\n",
       "GsUg8vBtmDPngbFYtLqYNm2K5THOWCbjy6JWHjNmrDLWIWgRNWlgYFy/V3Fg9uy5Yx2DKtOnT8Xy\n",
       "GF8sk/HF8hh/LJPxZfr0qZOGn2p4g9a8RMTfgHUy857q82AGMnPl0QhGkiRpOEM1Gx0APNj2eTDj\n",
       "uupGkiRNLIMmL5k5q9tnSZKkseS7jSRJUqOYvEiSpEYxeZEkSY0youQlIiZX/z8/IraKiNV7E5Yk\n",
       "SVJ3tZKXiFg/Iv4ObBARywO/Bb4D/CEi3t3LACVJktrVrXk5GjiDkrTsAjwOTAf2oLz3SJIkqS/q\n",
       "Ji/rAl/KzAeAdwJnZOYjwIXAzF4FJ0mS1Klu8nIPsEpErAq8CvhpNXw94J89iEuSJKmrui9mPBH4\n",
       "CfAYcBNwYUR8GPgCcGiPYpMkSVpArZqXzPwssCslWdkwM58A7gQ+kJmH9TA+SZKk+dSteSEzfxIR\n",
       "KwEviYi5wKWZaZORJEnqq1rJS0RMAWYBW1BexDgT+HJETAfelZl39SxCSZKkNnU77B4FPBd4IfBv\n",
       "SgLzEeBJ4NjehCZJkrSgusnLO4GPZeZtrQGZ+RfKc1426UVgkiRJ3dRNXp4FPNpl+JLApNELR5Ik\n",
       "aWh1k5czgcMjYtnWgIiYSWkyOqcXgUmSJHVTN3nZi1LzcjfwHOB3wPWUh9d9pDehSZIkLajW3UaZ\n",
       "eT+wZUSsBqxZfe/6zLy+l8FJkiR1qnur9GTgk8AdmTmrGnZhRJyXmV/qYXySJEnzqdtsdCTwAeZ/\n",
       "j9HJwB4R4esBJElS39RNXrYFtsnM81oDMvM7wHuBnXsRmCRJUjd1k5clgYe7DP8XMHX0wpEkSRpa\n",
       "3eTlp8AxEfGi1oCIeCHwFeC8Qb8lSZI0yuq+mHEv4CfATRHxr2rYUsAFwId6EZgkSVI3dW+VvgfY\n",
       "MCLWAl5CeebLjZn5p14GJ0mS1GnQ5KVqIro1M59say56CLiqYxoy85aeRilJklQZqublJmAF4K7q\n",
       "82AGgMlAPgB0AAAYIElEQVSjGZQkSdJghkpeXkR5HQDACxn8BYwDoxqRJEnSEAZNXjLz1rY/TwK2\n",
       "yMz72qeJiOnAucArexKdJElSh6H6vLwNWJ9S47IRcEBEPNgx2eqUWhlJkqS+GKrZ6HpgX+Y1F61P\n",
       "ucuo3Vxghx7EJUmS1NVQzUa3ABsDRMQsYK/M/Ndg00uSJPVDrSfsZuaOwAoRsQxARLw5Io6LCN9r\n",
       "JEmS+qpW8hIROwJ/AtaJiJcDZwMzgcMj4oDehSdJkjS/uu82+hSwa2ZeBOwI/DEz3wz8F/CB3oQm\n",
       "SZK0oLrJywzgwurzZsBZ1edbgeVGOSZJkqRB1X0x41+ATSLiDmA14Mxq+A7Ajb0IDOCGG25gzpwH\n",
       "ejV7jdC9906xPMYZy2R8sTzGH8tkeDNmrMISSywx1mGMSN3k5bPAydX0Z2Xm7yLiK8DuwFa9Ci72\n",
       "PwWWXr5Xs5ckadF2/51cvu9mrLba6mMdyYjUfav0aRFxCbBiZl5TDf4ucExPX8q49PKw7Io9m70k\n",
       "SWqeWslL21ul72//3BrnW6UlSVK/1G02Guyt0gPAE0CzGsskSVJj1U1eXtTx92LVsIOAQ0c1IkmS\n",
       "pCHU7fNya5fBN0XEHEpH3nNGMyhJkqTB1H3Oy1BWGoV5SJIk1VK3w+7BlP4t7ZYCtgR+MdpBSZIk\n",
       "DaZun5cNmD95GQAeBWYBR49yTJIkSYOq2+dlox7HIUmSVMugyUtE7AycnJkPV5+H8ihwB3BJZj4+\n",
       "mgFKkiS1G6rm5QDKO4weprweoLPPS+d8lgd+Bmw+atFJkiR1GDR5ycwXtn1edbgZRcSGlORFkiSp\n",
       "Z0bjVumWa4DtR3F+kiRJC6h7t9GwMnMucMZozU+SJKmb0ax5kSRJ6jmTF0mS1Ci1m40iYm1gT2B1\n",
       "YDvg3cCNmXneCOaxPbAP5c6lfwN7ZeZVI4pYkiQt0mrVvETEpsDlwGTgNcCSwDTgrIjYruY8Avgi\n",
       "sGlmrgscApy+MEFLkqRFV91mo8OAj2bmTsBjwEBmHkSpiflMzXk8DOySmXdWf18FrBARo9ZpWJIk\n",
       "TXx1E4c16P4CxguBr9aZQWbeBtwGEBGTKO9EOtMn8kqSpJGom7zcCvw/4C8dw98B3DySBUbEcygv\n",
       "dFwReMtIvitJkkbXtGlTmD596liHMSJ1k5dPA9+LiFcBiwM7RcRqwFaUzru1RMTKwNnAH4GNM/OR\n",
       "EcYrSZJG0Zw5DzB79ty+LGu0kqRafV4y8wxgA2A54A+UGpdnAK/PzB/VmUdETAMuBk7LzG1NXCRJ\n",
       "0sKo3Vk2M68F3vs0lvVBYCVgi4jYom34GzNzztOYryRJWoQMmrxExPcpz2OZ1Da4883Skyh3Hu0w\n",
       "3IIy81Dg0IUJUpIkqWWompcnWDB56aYzoZEkSeqZQZOXzNyxj3FIkiTVUqvPS0RMBrYAXkJ5yi6U\n",
       "GplnAutk5pt7E54kSdL86nbYPRbYCbiG8nqAXwMvprwi4PDehCZJkrSguq8H2ArYPjP/H3AjsAew\n",
       "MnAa8GCPYpMkSVpA3eRlKeDK6vN1wKurx/ofTnm/kSRJUl/UTV5uAdarPv8JeHXb95cb7aAkSZIG\n",
       "U7fPyxeBkyNiZ+BU4KqIGKC87+iyXgUnSZLUqe7rAU4CNgFuyMw/AZsD04HLgR17Fp0kSVKHkbwe\n",
       "4LK2zz8Hft6TiCRJkoZQ9zkvawCHAGsAS3aMHsjMmaMdmCRJUjd1a15Oprwu4ATg4Y5xvh5AkiT1\n",
       "Td3kJSi3R/+xl8FIkiQNp+6t0j8HXtvLQCRJkuqoW/PyUeDqiNgOuI35m4oGMnPnUY9MkiSpi7rJ\n",
       "yzcpCcs91Xdaycsketnn5f47ezZrSZIWeQ29ztZNXjYENsjMq3oZTKc8fBvmzHmgn4vUEKZNm2J5\n",
       "jDOWyfhieYw/lsnwZsxYZaxDGLG6ycsfgWV6GUg3M2fOZPbsuf1erAYxffpUy2OcsUzGF8tj/LFM\n",
       "Jqa6ycu3gB9ExHcp7zl6vH1kZp442oFJkiR1Uzd5+TTwCLD1IONNXiRJUl/USl4yc9UexyFJklRL\n",
       "7XcbRcTywPuB1YFPABsBf87M3/cmNEmSpAXVekhdRLwSuBF4A/BfwBTKHUhXRsSmvQtPkiRpfnWf\n",
       "sPtl4IjMfAPwKOXBdB8CDq/+SZIk9UXd5GUd4NQuw38ArDl64UiSJA2tbvIyG3hJl+GvA+4YvXAk\n",
       "SZKGVrfD7hHAtyPiCGAysElErAzsBezXq+AkSZI61ap5ycxvUe402hL4N6WfyxuAnTPza70LT5Ik\n",
       "aX61b5XOzLOBs3sYiyRJ0rAGrXmJiN9HxLIdw54bEXX7yUiSJI26oRKRlwKLdwz7C7Bqz6KRJEka\n",
       "hrUokiSpUUxeJElSo5i8SJKkRhnubqNtI+Jf1edJ1fRbRcTs9oky88ReBCdJktRpqOTlr8BHOobd\n",
       "CezeZVqTF0mS1BeDJi+ZuWof45AkSarFPi+SJKlRTF4kSVKjmLxIkqRGMXmRJEmNYvIiSZIaxeRF\n",
       "kiQ1ismLJElqFJMXSZLUKCYvkiSpUUxeJElSo5i8SJKkRjF5kSRJjWLyIkmSGsXkRZIkNYrJiyRJ\n",
       "ahSTF0mS1CgmL5IkqVFMXiRJUqOYvEiSpEYxeZEkSY2y2FgHMJQbbriBOXMeGOswVLn33imjWh4z\n",
       "ZqzCEkssMWrzkyQtGsZ18nLRHsFKU8c6CrXMGcV5/X0ucMhVrLba6qM4V0nSomBcJy8rTYVVlxrr\n",
       "KCRJ0nhinxdJktQoJi+SJKlRTF4kSVKjmLxIkqRGMXmRJEmNYvIiSZIaxeRFkiQ1ismLJElqFJMX\n",
       "SZLUKCYvkiSpUUxeJElSo5i8SJKkRjF5kSRJjWLyIkmSGmWxfi4sIj4M7A4MADcD78/M2f2MQZIk\n",
       "NVvfal4iYj3g48BrM/NlwI3Awf1aviRJmhj6lrxk5lXAizNzbkQ8E1gJuLtfy5ckSRNDX/u8ZOYT\n",
       "EbE58Dfg9cCsfi5fkiQ1X9877GbmGZk5HTgI+Hm/ly9Jkpqtbx12I2I14PmZeVk16CTg+IhYNjPv\n",
       "7VccGj+mTZvC9OlTxzqMxnMbji+Wx/hjmUw8/bzb6AXAyRGxTmbeA2wHXGfisuiaM+cBZs+eO9Zh\n",
       "NNr06VPdhuOI5TH+WCbjy2glkv3ssHspcChwUURcA7wH2Lxfy5ckSRNDX5/zkpnHA8f3c5mSJGli\n",
       "8Qm7kiSpUUxeJElSo5i8SJKkRjF5kSRJjWLyIkmSGsXkRZIkNYrJiyRJahSTF0mS1CgmL5IkqVFM\n",
       "XiRJUqOYvEiSpEYxeZEkSY1i8iJJkhrF5EWSJDWKyYskSWoUkxdJktQoi411AEP5+9yxjkC98ve5\n",
       "MG2sg5AkNdK4Tl42+noyZ84DYx2GKtOmTRm18pgGzJixyqjMS5K0aBnXycvMmTOZPdvql/Fi+vSp\n",
       "lockaczZ50WSJDWKyYskSWoUkxdJktQoJi+SJKlRTF4kSVKjmLxIkqRGMXmRJEmNYvIiSZIaxeRF\n",
       "kiQ1ismLJElqFJMXSZLUKCYvkiSpUUxeJElSo5i8SJKkRjF5kSRJjWLyIkmSGsXkRZIkNYrJiyRJ\n",
       "ahSTF0mS1CiTBgYGxjoGSZKk2qx5kSRJjWLyIkmSGsXkRZIkNYrJiyRJahSTF0mS1CgmL5IkqVEW\n",
       "G+sAIuLtwGHAksDvgV2A5wE/BJ4JHJ2ZJ1XTbg9EZh4wRuFOSBExCTgJuC4zj4qIycDRwCaUfeTI\n",
       "zPxmNe1uwF7A/cC2mXlrNfxnwEczM8dgFSaUaj/fBxgA/k3Z3tcAX8YyGRMR8WFgd0qZ3Ay8H5iD\n",
       "x8mYiojNge9m5tKet8ZWRBwF/CfluAC4HtiOHp23xrTmJSKmAycCW2TmGsAtwBeAPYAvAesBn66m\n",
       "nQp8CDh0bKKdmCJiTeBCYCvKiRlgN2A1YC3gVcDeEfGqatwngXWAr1LKg4j4T+APngCevogI4IvA\n",
       "ppm5LnAIcDqlTF6MZdJ3EbEe8HHgtZn5MuBG4GAskzEVEasDRwKTqkGet8bWa4GtM3Pd6t82lIS/\n",
       "J2Uy1s1GmwBXZubN1d/fALYFHgaeAzwLeLIadyAla3u471FObHsA3wF+1Dbs3cBJmflkZt5HqQXb\n",
       "vhr3GKVGbArwSEQ8m3JiP6h/IU9oDwO7ZOad1d9XAStQkssTLZP+y8yrgBdn5tyIeCawEnAPsDmW\n",
       "yZiotuf3gY8yL3nxvDVGImJJYF1g34j4XUScFhErU46RnpTJWDcbzQD+3vb37cBSwPHACZRsbJ+q\n",
       "dmCtzNyn/yFObJm5J0BEvKlt8ErA39r+vh14efV5f+Ai4J/ATsCngK9l5oM9D3YRkJm3AbfBU815\n",
       "RwNnAS/FMhkzmflE1UTxbUqCeQCwBZbJWPkm5Trx+7ZhnrfGzvMpNfj7ZeaNEbEPcCalAqInZTLW\n",
       "ycukQYbfnZmbtv6IiJ8CH636x3yQ8qtn78y8tw8xLoq61cg9AZCZp1OaMYiI1YD1gc9GxFeAVYGL\n",
       "M/PLfYpzwoqI5wCzgBWBtwJXdpnMMumjzDwDOCMidgV+Qfnl2Mky6bGI2AN4LDNnRcSqbaM8b42R\n",
       "qr/KO9r+PjIiPkvpy9ppVMpkrJuN/krJ2FpWBO7NzIdaA6o2sD9n5vVAq0PQzynVheqNvwIvaPt7\n",
       "RebPnluOolTzvQmYkpmbA2+pdkQtpKq69TeUi+PGmXk/lsmYiYjVIuL1bYNOAlam1BpbJv33PuBV\n",
       "EXEN8FPgWdVny2OMRMTLIuK9bX+3KiYupkdlMtbJy/nA+hHx4urv3YEzWiOrNrB9gM9Vgxan9IEZ\n",
       "oFRHaXS1drgzgZ0jYnJELANsTVu5AETEO4DbM/NaYAnm/QodoLRjaiFExDTKAX9aZm6bmY9UoyyT\n",
       "sfMC4JSIWK76ezvgOuAnWCZ9l5mvycyXVR3a3wY8VH22PMbOAPDVtpqwDwLXUpq8e1ImY9pslJl3\n",
       "RcROwGkRsQRwE7BD2yT7A8dl5gPV30dSbhm9H9imr8EuGlp3G32D0kO8tTMdn5mXtiaqOmd9BnhL\n",
       "NegXwB4R8Tvg8sz8Y/9CnnA+SGm73yIitqiGDVC2tWUyBjLz0og4FLgoIh6ntNtvTvmlb5mMrUl4\n",
       "3hpzmfmHiNgTOLu6Zf1vlGv0P+hRmUwaGBgYbJwkSdK4M9bNRpIkSSNi8iJJkhrF5EWSJDWKyYsk\n",
       "SWoUkxdJktQoJi+SJKlRxvr1ANK4VT1U6dOUd9isQHl2wUnAUZn5eDXNk8CbMvOXYxboKIuIHYGD\n",
       "M3PGWMfSFBHxGeCNmbnxKMxrVeAWYKXMvKPL+B2xfLSIM3mRuqiedHs55aVhu1IuJusBx1Bekvje\n",
       "wb/deD8Ezh7rIDQoy0eLPJMXqbsvAI8Ab87MR6tht0XE3ZQnrR6Tmf83duH1TmY+THlzssYhy0cy\n",
       "eZEWUD2yemtgn7bEBYDMvCQiNqa826bldRHxZWAm8H/ADtVbVlvv7fg8sCYlGToPeH9mzo2IzwFr\n",
       "AHcD2wOPAkdn5hHVdycDBwI7A1OBXwG7Z+Y/q/GfobwPbAqllmjPzLyp5jquBxxHeT39NZTX2W+Q\n",
       "mRu3N0tExBXABZn5mbbvngv8ITP3jYi1gGMpb4S9HfhGZh5dTTfk+nWJ6VbgS5R3B60LJLBrZv62\n",
       "Gr8ScDTwRso7zn5IKaNHBpnfdpRtvwLlfSrPAK7PzIOq8R8A9gOmA78DPtq2rOFiWRP4JqU27krm\n",
       "3x+oXuR4NKWW7hbgiMz8QTVuFuWx9i+nvApio0Eeg75NRHwMeE61rntl5qOdzUbD7GNLA9+ivPBu\n",
       "MeACYI/MvLPbNpOawg670oJWoyQEXWtWMvPi6tdvy/uBjwCvApamXPSIiBcCpwFfBwLYCngDJeFo\n",
       "eTflov4K4IvAYRGxRjXuc8AulGarV1NeRvq9at57Upqutq/G3QT8MiKGfWFpdUE7D7gKWAc4mXIR\n",
       "7/aukJMpfX5a3122WodTqmWdR3kD9suAPYG9I+LDw6zfmkOEdyBwBOXCfh/wtWq5SwC/BJ4N/Adl\n",
       "W76V8jbabuv4euDEapnrAg8C72mtY0RsRrngf6TaBudStt/yNWJZEvgZcFu1Xv8N7NY27xUobzv+\n",
       "PiV5+TxwbJVktGxHKd+3AH8aZFvsTNn276rW9dNd1nO4fezzwCrAhpQE83nAlwdZntQY1rxIC1qm\n",
       "+v/+mtMflpkXAUTEd4DWxXsy5dfyCdXff42IC4GXtH33XuDjmTkAHBkR+wGvjIikXBD3y8zzqnl/\n",
       "kPKG1knAJ4APty13L8obdrcEfjBMvFtTLuZ7ZuaTwA0R8TpKDUWnHwNHR8QamXk95YWEt2bm1RGx\n",
       "C3BPW63MzRFxAHAA1YV+kPVbD/hzl2UNAN/NzLOqdToaOL0a9xZgReDVmXlfNf5DwDkRsX9mzu2Y\n",
       "1x7AjzPzm23bbtO28Z+g1Ia0+o4cFhFvoiSihwwTy5uA51JqwR4EMiL+o4oP4EPArzLz2OrvW6qE\n",
       "bW/gnGrY1Zl5Zpdt0O7Dmfm/1fIPoLyY9sCOaYbbx1YBHqCU2YMR8V7m7d9SY5m8SAu6u/p/2ZrT\n",
       "39z2+V9Ur3HPzJsi4tGI+DSwVtu/k9umv626sLfMBRanXByfS6kdoZrfLcBnImIK5UJ5cnW3U8uS\n",
       "wOo14n05cE2VuLRcTlsNS9sy/xERF1OSokMpv+xPrUavCawVEe2JwzOAJSJi8WHWbzCd2/IZEfGM\n",
       "alk3tRKXtpgnU9b56o75vAxoXdDJzCci4rdt49ekJCwHtw1bgnJH2XCxvAS4uUpcWq6iNAG15v3W\n",
       "ju2yGHBX29+3Mrwr2z5fAzw3IpZrn6DGPvZl4CxgdkT8CvgJVe2d1GQ2G0kLuhmYA7ym28iIOC0i\n",
       "3tU26ImOSSZV061NaRJ4CXAJpRnghx3TPsqCJg0yvKX1o2NrYO22f2tS7oYazmMseOwPdS74IbBl\n",
       "1dz0Ruatw2LARR0xvIzSz+XxaprB1m8wg633Q12GTe74v93jXZbTvo6TgY8xf+wvodTIDBXLpI7/\n",
       "Wx5r+7wYJXlon/dLKc1dLV376XRo369a6zhfTEPsY5OgNHFSkqpdKbVgR1Ga+qRGM3mROmTmE8Ap\n",
       "wIervhZPiYg3UGoo7ur23Q7vBS7NzO0y8/jMvIrSqXeoi3crhvuB2ZQ+Fa1lrx4R/6y+fxfwgsy8\n",
       "paqRuZVSM7J2jbj+CKxd1SK0rEf3Pi8A/0P5Nb9bCS1bfTSur9bntrY41qY0dQ02r4V1PfDiqs9N\n",
       "y2spF/hunZT/CLyy9UfV+XmdtvEJrNyKu4r9Y8BGw8QxAPyhiqW9+WVd5m2/64GZHfN+MyWBGIn2\n",
       "eF8D3NGleWywfQyAqkbmNZl5cmZuT2la3Cgipo8wFmlcsdlI6u4g4O3A+RFxIKU54fWUzrgnZubl\n",
       "NeZxN/CyiHg15Vfv7pQmm9tqxvBV4KCI+BvlTp6vAldl5r1VH4yDI+JOyoV6H8oFcm946gF7kzLz\n",
       "3i7zPQU4HPhKRBwHbECpxbmsWxCZOScizgc+Q+nA2vIDSqfTEyLiC8AMSsfRWTXXbyTOB24Avh8R\n",
       "+wPLUWqZThlkHb8GXBwRF1FqJD5M6f/RSjCOBk6MiOuBX1M6Pu9CuYNoOBdQksUTq+TglcA2wP9W\n",
       "478O7BURh1Eearg2Zb/ZZwTrC/CN6o6oaZTt/MUu0wy3j60CbB8ROwN3UtbzNuY1jUqNZM2L1EVm\n",
       "3g28jtKx9HuUW2H3pVz0dxviqwPMu0AeQ7kwng9cSmla2JN5v6jbp+3mC5QmgJMp/TvmAO+rxh0J\n",
       "HE+53flaSs3Ipq3bqCkXzdPpouqrsRklGbsW2IGSiLQ3fXTGdQrzbtltzecBSkfaVSl9TmZV/1p3\n",
       "xQy3fnUMVMsaoHQWHgCuoPS7OZNBajMy8wpKp90DKP1FlqKUxaPV+B9R7rA6kFKT8i7gXZn5+xqx\n",
       "PEa5+2cK8FtKYvSVtmX/FXgHpWPvdZTE5cBW52HqbZcBShJ0DqX8Z2Xml9vG1d3HPk5Jqs6s1nMm\n",
       "8I4e1IxJfTVpYMB9WJpoqv4pP8zMt3YZtyrl0fOXtQ07DnhWZu7cvyh7JyJeBdyfmTe0Dfsj8IXM\n",
       "tMOq1HA2G0kT0ycpzxnpZhngguohbr+l9HfZHvivPsXWD6+lNN28l/KKh20od2jZWVWaAExepInp\n",
       "s62XR3bKzN9Vz0g5nNJP5TbK02XP7WeAPXYc8EJK09nSlKajt2ZmnY7WksY5m40kSVKj2GFXkiQ1\n",
       "ismLJElqFJMXSZLUKCYvkiSpUUxeJElSo5i8SJKkRvn/8nfkdkxbQBIAAAAASUVORK5CYII=\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1078b6ad0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "fig, ax = plt.subplots(1)\n",
    "counts = pd.Series(women_majority).value_counts(normalize=True).sort_index()\n",
    "blue, green, orange = sns.color_palette()[:3]\n",
    "counts[::-1].plot(kind='barh', ax=ax, colors=[orange, blue, blue, blue])\n",
    "ax.set_xticklabels(['%.0f%%' % (t*100) for t in ax.get_xticks()])\n",
    "ax.set_ylabel('Female justices in majority')\n",
    "ax.set_xlabel('Chance, given no gender bias')\n",
    "ax.set_title('Distribution of female justice majority votes in a random 5-4 decision')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}