nicole richter - lab-inferential-statistics

.ipynb_checkpoints/Solutions-checkpoint.ipynb

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+   "source": [
+    "# Lab | Inferential statistics"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "- It is assumed that the mean systolic blood pressure is `μ = 120 mm Hg`. In the Honolulu Heart Study, a sample of `n = 100` people had an average systolic blood pressure of 130.1 mm Hg with a standard deviation of 21.21 mm Hg. "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 29,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import pandas as pd\n",
+    "import numpy as np\n",
+    "import datetime\n",
+    "import warnings\n",
+    "import matplotlib.pyplot as plt\n",
+    "import seaborn as sns\n",
+    "import math\n",
+    "from scipy.stats import ttest_ind\n",
+    "warnings.filterwarnings('ignore')"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## 1. Is the group significantly different (with respect to systolic blood pressure!) from the regular population?"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### 1.1 Set up the hypothesis test."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "see below"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### 1.2 Write down all the steps followed for setting up the test."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "https://www.scribbr.com/statistics/hypothesis-testing/\n",
+    "<br>\n",
+    "Hypothesis testing is a formal procedure for investigating our ideas about the world using statistics. It is most often used by scientists to test specific predictions, called hypotheses, that arise from theories.\n",
+    "<br>\n",
+    "There are 5 main steps in hypothesis testing:<br>"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "#### State your research hypothesis as null (H0) and alternate (Ha) hypothesis."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Ho: Systolic blood pressure, on average, not higher than regular population. <br>\n",
+    "Ha: Systolic blood pressure, on average, higher than regular population."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "#### Collect data in a way designed to test the hypothesis."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "mean systolic blood pressure is μ = 120 mm Hg <br> \n",
+    "a sample of n = 100 people had an average systolic blood pressure of 130.1 mm Hg <br> \n",
+    "with a standard deviation of 21.21 mm Hg."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "#### Perform an appropriate statistical test."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 36,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "4.7619"
+      ]
+     },
+     "execution_count": 36,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "mean_population = 120\n",
+    "sample_mean = 130.1\n",
+    "stdev = 21.21\n",
+    "n = 100\n",
+    "\n",
+    "t = ((sample_mean - mean_population) / (stdev / math.sqrt(n)))\n",
+    "\n",
+    "round(t,5)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "#### Decide whether the null hypothesis is supported or refuted."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "#### Present the findings in your results and discussion section."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### 1.3 Calculate the test statistic by hand and also code it in Python. It should be 4.76190. We will take a look at how to make decisions based on this calculated value."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "see 1.1.2.3"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## 2. If you finished the previous question, please go through the code for principal_component_analysis_example provided in the files_for_lab folder ."
+   ]
+  }
+ ],
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