From 188f918ba0a211d8a294a223a07eee1c082db884 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?=E2=80=9Cdanielmdepaoli=E2=80=9D?=
 <“danielmdepaoli@gmail.com”>
Date: Mon, 14 Aug 2023 09:03:15 +0100
Subject: [PATCH] Lab Done

---
 .../{main.ipynb => GoodnessFitLab.ipynb}      | 113 ++++++++++++++++--
 1 file changed, 103 insertions(+), 10 deletions(-)
 rename your_code/{main.ipynb => GoodnessFitLab.ipynb} (52%)

diff --git a/your_code/main.ipynb b/your_code/GoodnessFitLab.ipynb
similarity index 52%
rename from your_code/main.ipynb
rename to your_code/GoodnessFitLab.ipynb
index 7810ccf..9377d30 100644
--- a/your_code/main.ipynb
+++ b/your_code/GoodnessFitLab.ipynb
@@ -14,11 +14,46 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 2,
    "metadata": {},
    "outputs": [],
    "source": [
-    "# your answer here"
+    "import scipy.stats as st\n",
+    "import numpy as np\n",
+    "from scipy.stats import geom\n",
+    "from scipy.stats import poisson"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Power_divergenceResult(statistic=nan, pvalue=nan)"
+      ]
+     },
+     "execution_count": 3,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "p = 2.435\n",
+    "\n",
+    "geom_dist = geom(p)\n",
+    "\n",
+    "geom_pmfs = np.array([geom_dist.pmf(i) for i in range(0, 7)])\n",
+    "\n",
+    "geom_pmfs_tail = np.append(geom_pmfs, 1 - geom_dist.cdf(7)) \n",
+    "\n",
+    "f_exp = geom_pmfs_tail* 200 # WHAT IS THIS 200???\n",
+    "\n",
+    "f_obs = np.array([35, 99, 104, 110, 62, 25, 10, 3])\n",
+    "\n",
+    "st.chisquare(f_obs=f_obs, f_exp=f_exp)"
    ]
   },
   {
@@ -60,11 +95,45 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 8,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "We CAN reject the null hypothesis\n",
+      "p-value: 0.011503557379296871\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/var/folders/d9/783c_j055nj0b0y037qm_1zc0000gn/T/ipykernel_37151/92150982.py:13: DeprecationWarning: 'binom_test' is deprecated in favour of 'binomtest' from version 1.7.0 and will be removed in Scipy 1.12.0.\n",
+      "  p_value = st.binom_test(defective_tires, n, p)\n"
+     ]
+    }
+   ],
    "source": [
-    "# your answer here"
+    "n = 10\n",
+    "p = 0.05\n",
+    "\n",
+    "# σ = sqrt(n * p * (1 - p)) = sqrt(10 * 0.05 * (1 - 0.05)) ≈ 0.71\n",
+    "# z = (x - μ) / σ\n",
+    "# Expected number of defective tires (μ) = p * n = 0.05 * 10 = 0.5\n",
+    "# The observed number of defective tires x = 14 (recorded over 200 days).\n",
+    "\n",
+    "z = (14 - 0.5) / 0.71\n",
+    "\n",
+    "defective_tires = 3\n",
+    "\n",
+    "p_value = st.binom_test(defective_tires, n, p)\n",
+    "if p_value < alpha:\n",
+    "    print(\"We CAN reject the null hypothesis\")\n",
+    "else:\n",
+    "    print(\"We CAN NOT reject the null hypothesis\")\n",
+    "print(\"p-value:\", p_value)"
    ]
   },
   {
@@ -79,17 +148,41 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 5,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Chi2ContingencyResult(statistic=10.712198008709638, pvalue=0.004719280137040844, dof=2, expected_freq=array([[24.08421053, 19.91578947],\n",
+       "       [19.70526316, 16.29473684],\n",
+       "       [ 8.21052632,  6.78947368]]))"
+      ]
+     },
+     "execution_count": 5,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "kids_table = [[32, 12], [14, 22], [6, 9]]\n",
+    "\n",
+    "alpha = 0.05\n",
+    "\n",
+    "st.chi2_contingency(kids_table)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
    "metadata": {},
-   "outputs": [],
    "source": [
-    "#your answer here"
+    "Hypothesis Rejected "
    ]
   }
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3",
+   "display_name": "Python 3 (ipykernel)",
    "language": "python",
    "name": "python3"
   },
@@ -103,7 +196,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.8.3"
+   "version": "3.10.9"
   }
  },
  "nbformat": 4,