diff --git a/Solutions.ipynb b/Solutions.ipynb index b3e2431..c17d7e8 100644 --- a/Solutions.ipynb +++ b/Solutions.ipynb @@ -1,5 +1,23 @@ { "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "bbb8f6c1", + "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", "id": "e00a11f1", @@ -33,12 +51,21 @@ ] }, { - "cell_type": "code", - "execution_count": null, - "id": "39c6f717", + "cell_type": "raw", + "id": "0ca1325d", "metadata": {}, - "outputs": [], - "source": [] + "source": [ + "Honolulu Heart Study:\n", + "\n", + "--> the average systolic blood pressure is μ = 130.1 mm Hg\n", + "--> standard deviation of 21.21 mm Hg\n", + "\n", + "Regular population: the mean systolic blood pressure is μ = 120 mm Hg\n", + "\n", + "Hypothesis :\n", + "--> Ho: Systolic blood pressure, on average, not higher than regular population.\n", + "--> Ha: Systolic blood pressure, on average, higher than regular population." + ] }, { "cell_type": "markdown", @@ -49,12 +76,18 @@ ] }, { - "cell_type": "code", - "execution_count": null, - "id": "b09ce149", + "cell_type": "raw", + "id": "c3ba3468", "metadata": {}, - "outputs": [], - "source": [] + "source": [ + "There are 5 main steps in hypothesis testing:\n", + "\n", + "1) State your research hypothesis as a null (Ho) and alternate (Ha) hypothesis.\n", + "2) Collect data in a way designed to test the hypothesis.\n", + "3) Perform an appropriate statistical test.\n", + "4) Decide whether the null hypothesis is supported or refuted.\n", + "5) Present the findings in your results and discussion section." + ] }, { "cell_type": "markdown", @@ -66,11 +99,31 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "id": "97f73e20", "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "data": { + "text/plain": [ + "4.7619" + ] + }, + "execution_count": 2, + "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", @@ -97,7 +150,20 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.5" + "version": "3.8.8" + }, + "toc": { + "base_numbering": 1, + "nav_menu": {}, + "number_sections": true, + "sideBar": true, + "skip_h1_title": false, + "title_cell": "Table of Contents", + "title_sidebar": "Contents", + "toc_cell": false, + "toc_position": {}, + "toc_section_display": true, + "toc_window_display": false } }, "nbformat": 4,