Finishes hypot1

1 files changed, 132 insertions, 41 deletions

diff --git a/CS105MiniProject.ipynb b/CS105MiniProject.ipynb
index ba21518..a0522d5 100644
--- a/CS105MiniProject.ipynb
+++ b/CS105MiniProject.ipynb
@@ -36,8 +36,8 @@
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2024-02-24T07:00:54.973509Z",
-     "start_time": "2024-02-24T07:00:54.931665Z"
+     "end_time": "2024-02-24T07:21:38.151425Z",
+     "start_time": "2024-02-24T07:21:38.129592Z"
     }
    },
    "outputs": [
@@ -84,8 +84,8 @@
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2024-02-24T07:00:54.991580Z",
-     "start_time": "2024-02-24T07:00:54.974862Z"
+     "end_time": "2024-02-24T07:21:38.167750Z",
+     "start_time": "2024-02-24T07:21:38.152499Z"
     }
    },
    "outputs": [
@@ -180,8 +180,8 @@
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2024-02-24T07:00:55.003163Z",
-     "start_time": "2024-02-24T07:00:54.994655Z"
+     "end_time": "2024-02-24T07:21:38.175951Z",
+     "start_time": "2024-02-24T07:21:38.168372Z"
     }
    },
    "outputs": [
@@ -210,8 +210,8 @@
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2024-02-24T07:00:55.013927Z",
-     "start_time": "2024-02-24T07:00:55.004472Z"
+     "end_time": "2024-02-24T07:21:38.182948Z",
+     "start_time": "2024-02-24T07:21:38.176646Z"
     }
    },
    "outputs": [
@@ -246,8 +246,8 @@
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2024-02-24T07:00:55.212651Z",
-     "start_time": "2024-02-24T07:00:55.015240Z"
+     "end_time": "2024-02-24T07:21:38.320548Z",
+     "start_time": "2024-02-24T07:21:38.183489Z"
     }
    },
    "outputs": [
@@ -317,8 +317,8 @@
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2024-02-24T07:00:55.426118Z",
-     "start_time": "2024-02-24T07:00:55.214378Z"
+     "end_time": "2024-02-24T07:21:38.504579Z",
+     "start_time": "2024-02-24T07:21:38.322532Z"
     }
    },
    "id": "c533e52f7d64a4df",
@@ -360,8 +360,8 @@
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2024-02-24T07:00:55.582387Z",
-     "start_time": "2024-02-24T07:00:55.429377Z"
+     "end_time": "2024-02-24T07:21:38.622759Z",
+     "start_time": "2024-02-24T07:21:38.508034Z"
     }
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    "id": "450665f2272bb3a2",
@@ -405,8 +405,8 @@
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2024-02-24T07:00:55.914365Z",
-     "start_time": "2024-02-24T07:00:55.595859Z"
+     "end_time": "2024-02-24T07:21:38.716057Z",
+     "start_time": "2024-02-24T07:21:38.623992Z"
     }
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    "id": "1a704a4702ea3f9c",
@@ -451,8 +451,8 @@
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2024-02-24T07:00:57.258272Z",
-     "start_time": "2024-02-24T07:00:55.921452Z"
+     "end_time": "2024-02-24T07:21:39.046666Z",
+     "start_time": "2024-02-24T07:21:38.717321Z"
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    },
    "id": "ae23070caa8a3c88",
@@ -507,8 +507,8 @@
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2024-02-24T07:00:57.502313Z",
-     "start_time": "2024-02-24T07:00:57.263584Z"
+     "end_time": "2024-02-24T07:21:39.136880Z",
+     "start_time": "2024-02-24T07:21:39.048148Z"
     }
    },
    "id": "464b4dec962ea0ae",
@@ -556,8 +556,8 @@
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2024-02-24T07:00:57.811998Z",
-     "start_time": "2024-02-24T07:00:57.510472Z"
+     "end_time": "2024-02-24T07:21:39.309745Z",
+     "start_time": "2024-02-24T07:21:39.138109Z"
     }
    },
    "id": "101f55892c052d46",
@@ -595,8 +595,8 @@
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2024-02-24T07:00:58.074567Z",
-     "start_time": "2024-02-24T07:00:57.814673Z"
+     "end_time": "2024-02-24T07:21:39.512158Z",
+     "start_time": "2024-02-24T07:21:39.311676Z"
     }
    },
    "id": "350d4fef50f55e38",
@@ -626,6 +626,97 @@
   {
    "cell_type": "markdown",
    "source": [
+    "# Hypothesis 1: There will be a correlation between whether people live with family, friends, or neither and whether or not they work\n",
+    "\n",
+    "Null Hypothesis: There is no relationship between people who live with family, friends, or neither and whether or not they work.\n",
+    "\n",
+    "Significance value: 0.1\n",
+    "Degrees of freedom: 3"
+   ],
+   "metadata": {
+    "collapsed": false
+   },
+   "id": "af9e65fe95ad565e"
+  },
+  {
+   "cell_type": "code",
+   "outputs": [
+    {
+     "data": {
+      "text/plain": "Do you currently work?   No  Yes  Total\nWho do you live with?                  \nBoth                     22    5     27\nFamily                   61   33     94\nFriends                  57   27     84\nNeither                  42   12     54\nTotal                   182   77    259",
+      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th>Do you currently work?</th>\n      <th>No</th>\n      <th>Yes</th>\n      <th>Total</th>\n    </tr>\n    <tr>\n      <th>Who do you live with?</th>\n      <th></th>\n      <th></th>\n      <th></th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>Both</th>\n      <td>22</td>\n      <td>5</td>\n      <td>27</td>\n    </tr>\n    <tr>\n      <th>Family</th>\n      <td>61</td>\n      <td>33</td>\n      <td>94</td>\n    </tr>\n    <tr>\n      <th>Friends</th>\n      <td>57</td>\n      <td>27</td>\n      <td>84</td>\n    </tr>\n    <tr>\n      <th>Neither</th>\n      <td>42</td>\n      <td>12</td>\n      <td>54</td>\n    </tr>\n    <tr>\n      <th>Total</th>\n      <td>182</td>\n      <td>77</td>\n      <td>259</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
+     },
+     "execution_count": 13,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "hyp3_major_table = pd.crosstab(df.iloc[:, 3], df.iloc[:, 8], margins=True, margins_name='Total')\n",
+    "hyp3_major_table"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2024-02-24T07:21:39.555055Z",
+     "start_time": "2024-02-24T07:21:39.514908Z"
+    }
+   },
+   "id": "48b809cbd77a656f",
+   "execution_count": 13
+  },
+  {
+   "cell_type": "code",
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Chi-squared value: 4.616203438011947\n"
+     ]
+    }
+   ],
+   "source": [
+    "num_rows, num_cols = hyp3_major_table.shape\n",
+    "# Initialize expected frequencies\n",
+    "expected_frequencies = []\n",
+    "chi_squared = 0\n",
+    "for i in range(num_rows - 1):\n",
+    "    row_totals = hyp3_major_table.iloc[i, -1]\n",
+    "    for j in range(num_cols - 1):\n",
+    "        col_totals = hyp3_major_table.iloc[-1, j]\n",
+    "        expected_frequency = (row_totals * col_totals) / hyp3_major_table.iloc[-1, -1]\n",
+    "        expected_frequencies.append(expected_frequency)\n",
+    "        chi_squared += ((hyp3_major_table.iloc[i, j] - expected_frequency) ** 2) / expected_frequency\n",
+    "\n",
+    "print(\"Chi-squared value:\", chi_squared)"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2024-02-24T07:21:39.564411Z",
+     "start_time": "2024-02-24T07:21:39.556730Z"
+    }
+   },
+   "id": "b82779602aa7b791",
+   "execution_count": 14
+  },
+  {
+   "cell_type": "markdown",
+   "source": [
+    "With a significance value of 0.1 and 3 degrees of freedom, chi-squared must be greater than 6.25.\n",
+    "Since chi-squared of `4.61 < 6.25`, we accept the null hypothesis:\n",
+    "\n",
+    "There is no relationship between people who live with family, friends, or neither and whether or not they work."
+   ],
+   "metadata": {
+    "collapsed": false
+   },
+   "id": "543e4daba6344237"
+  },
+  {
+   "cell_type": "markdown",
+   "source": [
     "### Hypothesis 2: Students who live on-campus are more likely to have roommates of the same major.\n",
     "\n",
     "Null Hypothesis: There is no relationship between students who live on-campus and students who have roommates of the same major.\n",
@@ -643,27 +734,27 @@
    "outputs": [
     {
      "data": {
-      "text/plain": "How many hours do you work per week on average?    0  1 - 5  10 - 20  20 - 40  \\\nWho do you live with?                                                           \nBoth                                              22      1        2        0   \nFamily                                            61      6       10        4   \nFriends                                           57      2       11        2   \nNeither                                           42      0        5        0   \nTotal                                            182      9       28        6   \n\nHow many hours do you work per week on average?  5 - 10  Total  \nWho do you live with?                                           \nBoth                                                  2     27  \nFamily                                               13     94  \nFriends                                              12     84  \nNeither                                               7     54  \nTotal                                                34    259  ",
-      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th>How many hours do you work per week on average?</th>\n      <th>0</th>\n      <th>1 - 5</th>\n      <th>10 - 20</th>\n      <th>20 - 40</th>\n      <th>5 - 10</th>\n      <th>Total</th>\n    </tr>\n    <tr>\n      <th>Who do you live with?</th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>Both</th>\n      <td>22</td>\n      <td>1</td>\n      <td>2</td>\n      <td>0</td>\n      <td>2</td>\n      <td>27</td>\n    </tr>\n    <tr>\n      <th>Family</th>\n      <td>61</td>\n      <td>6</td>\n      <td>10</td>\n      <td>4</td>\n      <td>13</td>\n      <td>94</td>\n    </tr>\n    <tr>\n      <th>Friends</th>\n      <td>57</td>\n      <td>2</td>\n      <td>11</td>\n      <td>2</td>\n      <td>12</td>\n      <td>84</td>\n    </tr>\n    <tr>\n      <th>Neither</th>\n      <td>42</td>\n      <td>0</td>\n      <td>5</td>\n      <td>0</td>\n      <td>7</td>\n      <td>54</td>\n    </tr>\n    <tr>\n      <th>Total</th>\n      <td>182</td>\n      <td>9</td>\n      <td>28</td>\n      <td>6</td>\n      <td>34</td>\n      <td>259</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
+      "text/plain": "Do you work in a department related to your major?  No  Yes  Total\nDo you currently live in a house, apartment, or...                \nApartment                                           22   16     38\nDorm                                                 4    1      5\nHouse                                               27    7     34\nTotal                                               53   24     77",
+      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th>Do you work in a department related to your major?</th>\n      <th>No</th>\n      <th>Yes</th>\n      <th>Total</th>\n    </tr>\n    <tr>\n      <th>Do you currently live in a house, apartment, or dorm?</th>\n      <th></th>\n      <th></th>\n      <th></th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>Apartment</th>\n      <td>22</td>\n      <td>16</td>\n      <td>38</td>\n    </tr>\n    <tr>\n      <th>Dorm</th>\n      <td>4</td>\n      <td>1</td>\n      <td>5</td>\n    </tr>\n    <tr>\n      <th>House</th>\n      <td>27</td>\n      <td>7</td>\n      <td>34</td>\n    </tr>\n    <tr>\n      <th>Total</th>\n      <td>53</td>\n      <td>24</td>\n      <td>77</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
      },
-     "execution_count": 13,
+     "execution_count": 15,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
-    "roommates_major_table = pd.crosstab(df.iloc[:, 3], df.iloc[:, 9], margins=True, margins_name='Total')\n",
+    "roommates_major_table = pd.crosstab(df.iloc[:, 4], df.iloc[:, 11], margins=True, margins_name='Total')\n",
     "roommates_major_table"
    ],
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2024-02-24T07:00:58.107622Z",
-     "start_time": "2024-02-24T07:00:58.086610Z"
+     "end_time": "2024-02-24T07:21:39.599685Z",
+     "start_time": "2024-02-24T07:21:39.566651Z"
     }
    },
    "id": "24d1f01fdd4ca1d6",
-   "execution_count": 13
+   "execution_count": 15
   },
   {
    "cell_type": "code",
@@ -672,7 +763,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Chi-squared value: 10.845786899856222\n"
+      "Chi-squared value: 4.183390044200403\n"
      ]
     }
    ],
@@ -694,12 +785,12 @@
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2024-02-24T07:00:58.112397Z",
-     "start_time": "2024-02-24T07:00:58.108287Z"
+     "end_time": "2024-02-24T07:21:39.604065Z",
+     "start_time": "2024-02-24T07:21:39.600815Z"
     }
    },
    "id": "fd3e73d9f461afd1",
-   "execution_count": 14
+   "execution_count": 16
   },
   {
    "cell_type": "markdown",
@@ -762,12 +853,12 @@
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2024-02-24T07:00:58.135808Z",
-     "start_time": "2024-02-24T07:00:58.113051Z"
+     "end_time": "2024-02-24T07:21:39.625364Z",
+     "start_time": "2024-02-24T07:21:39.604708Z"
     }
    },
    "id": "b513f8e8241e86e5",
-   "execution_count": 15
+   "execution_count": 17
   },
   {
    "cell_type": "markdown",
@@ -789,12 +880,12 @@
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2024-02-24T07:00:58.137929Z",
-     "start_time": "2024-02-24T07:00:58.136527Z"
+     "end_time": "2024-02-24T07:21:39.628186Z",
+     "start_time": "2024-02-24T07:21:39.626237Z"
     }
    },
    "id": "55fb116c79c479a1",
-   "execution_count": 15
+   "execution_count": 17
   }
  ],
  "metadata": {