diff --git a/.ipynb_checkpoints/README-checkpoint.md b/.ipynb_checkpoints/README-checkpoint.md
new file mode 100644
index 0000000..a561162
--- /dev/null
+++ b/.ipynb_checkpoints/README-checkpoint.md
@@ -0,0 +1,56 @@
+
+
+# Lab | Hypothesis Testing
+
+
+
+ Learning Goals
+
+
+ This exercise allows you to practice and apply the concepts and techniques taught in class.
+
+ Upon completion of this exercise, you will be able to:
+
+ - Different kinds of hypothesis testing, such one sample, paired samples, and more
+
+
+
+
+
+
+
+
+
+ Prerequisites
+
+Before this starting this lab, you should have learnt about:
+
+- Basic Probabilities concepts.
+- Understand difference between distributions and where/how to apply them in a business context.
+- Central Limit Theorem.
+- Different kind of hypothesis testing.
+
+
+
+
+
+
+## Introduction
+
+In this exercise, you will have the opportunity to dive into one of the fundamental of hypothesis testing.
+
+
+
+**Happy coding!** :heart:
+
+
+
+
+## Getting Started
+
+Complete the challenges in the notebook. Follow the instructions and add your code and explanations as necessary.
+
+
+## Submission
+
+- Submit your solutions in the Student Portal.
diff --git a/.ipynb_checkpoints/lab-hypothesis-testing-checkpoint.ipynb b/.ipynb_checkpoints/lab-hypothesis-testing-checkpoint.ipynb
new file mode 100644
index 0000000..0cc26d5
--- /dev/null
+++ b/.ipynb_checkpoints/lab-hypothesis-testing-checkpoint.ipynb
@@ -0,0 +1,520 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Lab | Hypothesis Testing"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "**Objective**\n",
+ "\n",
+ "Welcome to the Hypothesis Testing Lab, where we embark on an enlightening journey through the realm of statistical decision-making! In this laboratory, we delve into various scenarios, applying the powerful tools of hypothesis testing to scrutinize and interpret data.\n",
+ "\n",
+ "From testing the mean of a single sample (One Sample T-Test), to investigating differences between independent groups (Two Sample T-Test), and exploring relationships within dependent samples (Paired Sample T-Test), our exploration knows no bounds. Furthermore, we'll venture into the realm of Analysis of Variance (ANOVA), unraveling the complexities of comparing means across multiple groups.\n",
+ "\n",
+ "So, grab your statistical tools, prepare your hypotheses, and let's embark on this fascinating journey of exploration and discovery in the world of hypothesis testing!"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "**Challenge 1**"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "In this challenge, we will be working with pokemon data. The data can be found here:\n",
+ "\n",
+ "- https://raw.githubusercontent.com/data-bootcamp-v4/data/main/pokemon.csv"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "#libraries\n",
+ "import pandas as pd\n",
+ "import scipy.stats as st\n",
+ "import numpy as np\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "
\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " | \n",
+ " Name | \n",
+ " Type 1 | \n",
+ " Type 2 | \n",
+ " HP | \n",
+ " Attack | \n",
+ " Defense | \n",
+ " Sp. Atk | \n",
+ " Sp. Def | \n",
+ " Speed | \n",
+ " Generation | \n",
+ " Legendary | \n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " | 0 | \n",
+ " Bulbasaur | \n",
+ " Grass | \n",
+ " Poison | \n",
+ " 45 | \n",
+ " 49 | \n",
+ " 49 | \n",
+ " 65 | \n",
+ " 65 | \n",
+ " 45 | \n",
+ " 1 | \n",
+ " False | \n",
+ "
\n",
+ " \n",
+ " | 1 | \n",
+ " Ivysaur | \n",
+ " Grass | \n",
+ " Poison | \n",
+ " 60 | \n",
+ " 62 | \n",
+ " 63 | \n",
+ " 80 | \n",
+ " 80 | \n",
+ " 60 | \n",
+ " 1 | \n",
+ " False | \n",
+ "
\n",
+ " \n",
+ " | 2 | \n",
+ " Venusaur | \n",
+ " Grass | \n",
+ " Poison | \n",
+ " 80 | \n",
+ " 82 | \n",
+ " 83 | \n",
+ " 100 | \n",
+ " 100 | \n",
+ " 80 | \n",
+ " 1 | \n",
+ " False | \n",
+ "
\n",
+ " \n",
+ " | 3 | \n",
+ " Mega Venusaur | \n",
+ " Grass | \n",
+ " Poison | \n",
+ " 80 | \n",
+ " 100 | \n",
+ " 123 | \n",
+ " 122 | \n",
+ " 120 | \n",
+ " 80 | \n",
+ " 1 | \n",
+ " False | \n",
+ "
\n",
+ " \n",
+ " | 4 | \n",
+ " Charmander | \n",
+ " Fire | \n",
+ " NaN | \n",
+ " 39 | \n",
+ " 52 | \n",
+ " 43 | \n",
+ " 60 | \n",
+ " 50 | \n",
+ " 65 | \n",
+ " 1 | \n",
+ " False | \n",
+ "
\n",
+ " \n",
+ " | ... | \n",
+ " ... | \n",
+ " ... | \n",
+ " ... | \n",
+ " ... | \n",
+ " ... | \n",
+ " ... | \n",
+ " ... | \n",
+ " ... | \n",
+ " ... | \n",
+ " ... | \n",
+ " ... | \n",
+ "
\n",
+ " \n",
+ " | 795 | \n",
+ " Diancie | \n",
+ " Rock | \n",
+ " Fairy | \n",
+ " 50 | \n",
+ " 100 | \n",
+ " 150 | \n",
+ " 100 | \n",
+ " 150 | \n",
+ " 50 | \n",
+ " 6 | \n",
+ " True | \n",
+ "
\n",
+ " \n",
+ " | 796 | \n",
+ " Mega Diancie | \n",
+ " Rock | \n",
+ " Fairy | \n",
+ " 50 | \n",
+ " 160 | \n",
+ " 110 | \n",
+ " 160 | \n",
+ " 110 | \n",
+ " 110 | \n",
+ " 6 | \n",
+ " True | \n",
+ "
\n",
+ " \n",
+ " | 797 | \n",
+ " Hoopa Confined | \n",
+ " Psychic | \n",
+ " Ghost | \n",
+ " 80 | \n",
+ " 110 | \n",
+ " 60 | \n",
+ " 150 | \n",
+ " 130 | \n",
+ " 70 | \n",
+ " 6 | \n",
+ " True | \n",
+ "
\n",
+ " \n",
+ " | 798 | \n",
+ " Hoopa Unbound | \n",
+ " Psychic | \n",
+ " Dark | \n",
+ " 80 | \n",
+ " 160 | \n",
+ " 60 | \n",
+ " 170 | \n",
+ " 130 | \n",
+ " 80 | \n",
+ " 6 | \n",
+ " True | \n",
+ "
\n",
+ " \n",
+ " | 799 | \n",
+ " Volcanion | \n",
+ " Fire | \n",
+ " Water | \n",
+ " 80 | \n",
+ " 110 | \n",
+ " 120 | \n",
+ " 130 | \n",
+ " 90 | \n",
+ " 70 | \n",
+ " 6 | \n",
+ " True | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
800 rows × 11 columns
\n",
+ "
"
+ ],
+ "text/plain": [
+ " Name Type 1 Type 2 HP Attack Defense Sp. Atk Sp. Def \\\n",
+ "0 Bulbasaur Grass Poison 45 49 49 65 65 \n",
+ "1 Ivysaur Grass Poison 60 62 63 80 80 \n",
+ "2 Venusaur Grass Poison 80 82 83 100 100 \n",
+ "3 Mega Venusaur Grass Poison 80 100 123 122 120 \n",
+ "4 Charmander Fire NaN 39 52 43 60 50 \n",
+ ".. ... ... ... .. ... ... ... ... \n",
+ "795 Diancie Rock Fairy 50 100 150 100 150 \n",
+ "796 Mega Diancie Rock Fairy 50 160 110 160 110 \n",
+ "797 Hoopa Confined Psychic Ghost 80 110 60 150 130 \n",
+ "798 Hoopa Unbound Psychic Dark 80 160 60 170 130 \n",
+ "799 Volcanion Fire Water 80 110 120 130 90 \n",
+ "\n",
+ " Speed Generation Legendary \n",
+ "0 45 1 False \n",
+ "1 60 1 False \n",
+ "2 80 1 False \n",
+ "3 80 1 False \n",
+ "4 65 1 False \n",
+ ".. ... ... ... \n",
+ "795 50 6 True \n",
+ "796 110 6 True \n",
+ "797 70 6 True \n",
+ "798 80 6 True \n",
+ "799 70 6 True \n",
+ "\n",
+ "[800 rows x 11 columns]"
+ ]
+ },
+ "execution_count": 3,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df = pd.read_csv(\"https://raw.githubusercontent.com/data-bootcamp-v4/data/main/pokemon.csv\")\n",
+ "df"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "- We posit that Pokemons of type Dragon have, on average, more HP stats than Grass. Choose the propper test and, with 5% significance, comment your findings."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "#code here"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "- We posit that Legendary Pokemons have different stats (HP, Attack, Defense, Sp.Atk, Sp.Def, Speed) when comparing with Non-Legendary. Choose the propper test and, with 5% significance, comment your findings.\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "#code here"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "**Challenge 2**"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "In this challenge, we will be working with california-housing data. The data can be found here:\n",
+ "- https://raw.githubusercontent.com/data-bootcamp-v4/data/main/california_housing.csv"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " | \n",
+ " longitude | \n",
+ " latitude | \n",
+ " housing_median_age | \n",
+ " total_rooms | \n",
+ " total_bedrooms | \n",
+ " population | \n",
+ " households | \n",
+ " median_income | \n",
+ " median_house_value | \n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " | 0 | \n",
+ " -114.31 | \n",
+ " 34.19 | \n",
+ " 15.0 | \n",
+ " 5612.0 | \n",
+ " 1283.0 | \n",
+ " 1015.0 | \n",
+ " 472.0 | \n",
+ " 1.4936 | \n",
+ " 66900.0 | \n",
+ "
\n",
+ " \n",
+ " | 1 | \n",
+ " -114.47 | \n",
+ " 34.40 | \n",
+ " 19.0 | \n",
+ " 7650.0 | \n",
+ " 1901.0 | \n",
+ " 1129.0 | \n",
+ " 463.0 | \n",
+ " 1.8200 | \n",
+ " 80100.0 | \n",
+ "
\n",
+ " \n",
+ " | 2 | \n",
+ " -114.56 | \n",
+ " 33.69 | \n",
+ " 17.0 | \n",
+ " 720.0 | \n",
+ " 174.0 | \n",
+ " 333.0 | \n",
+ " 117.0 | \n",
+ " 1.6509 | \n",
+ " 85700.0 | \n",
+ "
\n",
+ " \n",
+ " | 3 | \n",
+ " -114.57 | \n",
+ " 33.64 | \n",
+ " 14.0 | \n",
+ " 1501.0 | \n",
+ " 337.0 | \n",
+ " 515.0 | \n",
+ " 226.0 | \n",
+ " 3.1917 | \n",
+ " 73400.0 | \n",
+ "
\n",
+ " \n",
+ " | 4 | \n",
+ " -114.57 | \n",
+ " 33.57 | \n",
+ " 20.0 | \n",
+ " 1454.0 | \n",
+ " 326.0 | \n",
+ " 624.0 | \n",
+ " 262.0 | \n",
+ " 1.9250 | \n",
+ " 65500.0 | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
"
+ ],
+ "text/plain": [
+ " longitude latitude housing_median_age total_rooms total_bedrooms \\\n",
+ "0 -114.31 34.19 15.0 5612.0 1283.0 \n",
+ "1 -114.47 34.40 19.0 7650.0 1901.0 \n",
+ "2 -114.56 33.69 17.0 720.0 174.0 \n",
+ "3 -114.57 33.64 14.0 1501.0 337.0 \n",
+ "4 -114.57 33.57 20.0 1454.0 326.0 \n",
+ "\n",
+ " population households median_income median_house_value \n",
+ "0 1015.0 472.0 1.4936 66900.0 \n",
+ "1 1129.0 463.0 1.8200 80100.0 \n",
+ "2 333.0 117.0 1.6509 85700.0 \n",
+ "3 515.0 226.0 3.1917 73400.0 \n",
+ "4 624.0 262.0 1.9250 65500.0 "
+ ]
+ },
+ "execution_count": 5,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df = pd.read_csv(\"https://raw.githubusercontent.com/data-bootcamp-v4/data/main/california_housing.csv\")\n",
+ "df.head()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "**We posit that houses close to either a school or a hospital are more expensive.**\n",
+ "\n",
+ "- School coordinates (-118, 34)\n",
+ "- Hospital coordinates (-122, 37)\n",
+ "\n",
+ "We consider a house (neighborhood) to be close to a school or hospital if the distance is lower than 0.50.\n",
+ "\n",
+ "Hint:\n",
+ "- Write a function to calculate euclidean distance from each house (neighborhood) to the school and to the hospital.\n",
+ "- Divide your dataset into houses close and far from either a hospital or school.\n",
+ "- Choose the propper test and, with 5% significance, comment your findings.\n",
+ " "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.10.9"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/lab-hypothesis-testing.ipynb b/lab-hypothesis-testing.ipynb
index 0cc26d5..192a909 100644
--- a/lab-hypothesis-testing.ipynb
+++ b/lab-hypothesis-testing.ipynb
@@ -46,16 +46,795 @@
"import pandas as pd\n",
"import scipy.stats as st\n",
"import numpy as np\n",
- "\n"
+ "import matplotlib.pyplot as plt\n",
+ "import plotly.express as px\n",
+ "import statsmodels.api as sm\n",
+ "import seaborn as sns\n",
+ "\n",
+ "from statsmodels.multivariate.manova import MANOVA\n",
+ "from scipy.stats import pearsonr\n",
+ "from scipy import stats\n",
+ "from scipy.stats import boxcox"
]
},
{
"cell_type": "code",
- "execution_count": 3,
+ "execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
+ "application/vnd.microsoft.datawrangler.viewer.v0+json": {
+ "columns": [
+ {
+ "name": "index",
+ "rawType": "int64",
+ "type": "integer"
+ },
+ {
+ "name": "Name",
+ "rawType": "object",
+ "type": "unknown"
+ },
+ {
+ "name": "Type 1",
+ "rawType": "object",
+ "type": "string"
+ },
+ {
+ "name": "Type 2",
+ "rawType": "object",
+ "type": "unknown"
+ },
+ {
+ "name": "HP",
+ "rawType": "int64",
+ "type": "integer"
+ },
+ {
+ "name": "Attack",
+ "rawType": "int64",
+ "type": "integer"
+ },
+ {
+ "name": "Defense",
+ "rawType": "int64",
+ "type": "integer"
+ },
+ {
+ "name": "Sp. Atk",
+ "rawType": "int64",
+ "type": "integer"
+ },
+ {
+ "name": "Sp. Def",
+ "rawType": "int64",
+ "type": "integer"
+ },
+ {
+ "name": "Speed",
+ "rawType": "int64",
+ "type": "integer"
+ },
+ {
+ "name": "Generation",
+ "rawType": "int64",
+ "type": "integer"
+ },
+ {
+ "name": "Legendary",
+ "rawType": "bool",
+ "type": "boolean"
+ }
+ ],
+ "ref": "82b4772a-3916-4e29-a750-c6f768230442",
+ "rows": [
+ [
+ "0",
+ "Bulbasaur",
+ "Grass",
+ "Poison",
+ "45",
+ "49",
+ "49",
+ "65",
+ "65",
+ "45",
+ "1",
+ "False"
+ ],
+ [
+ "1",
+ "Ivysaur",
+ "Grass",
+ "Poison",
+ "60",
+ "62",
+ "63",
+ "80",
+ "80",
+ "60",
+ "1",
+ "False"
+ ],
+ [
+ "2",
+ "Venusaur",
+ "Grass",
+ "Poison",
+ "80",
+ "82",
+ "83",
+ "100",
+ "100",
+ "80",
+ "1",
+ "False"
+ ],
+ [
+ "3",
+ "Mega Venusaur",
+ "Grass",
+ "Poison",
+ "80",
+ "100",
+ "123",
+ "122",
+ "120",
+ "80",
+ "1",
+ "False"
+ ],
+ [
+ "4",
+ "Charmander",
+ "Fire",
+ null,
+ "39",
+ "52",
+ "43",
+ "60",
+ "50",
+ "65",
+ "1",
+ "False"
+ ],
+ [
+ "5",
+ "Charmeleon",
+ "Fire",
+ null,
+ "58",
+ "64",
+ "58",
+ "80",
+ "65",
+ "80",
+ "1",
+ "False"
+ ],
+ [
+ "6",
+ "Charizard",
+ "Fire",
+ "Flying",
+ "78",
+ "84",
+ "78",
+ "109",
+ "85",
+ "100",
+ "1",
+ "False"
+ ],
+ [
+ "7",
+ "Mega Charizard X",
+ "Fire",
+ "Dragon",
+ "78",
+ "130",
+ "111",
+ "130",
+ "85",
+ "100",
+ "1",
+ "False"
+ ],
+ [
+ "8",
+ "Mega Charizard Y",
+ "Fire",
+ "Flying",
+ "78",
+ "104",
+ "78",
+ "159",
+ "115",
+ "100",
+ "1",
+ "False"
+ ],
+ [
+ "9",
+ "Squirtle",
+ "Water",
+ null,
+ "44",
+ "48",
+ "65",
+ "50",
+ "64",
+ "43",
+ "1",
+ "False"
+ ],
+ [
+ "10",
+ "Wartortle",
+ "Water",
+ null,
+ "59",
+ "63",
+ "80",
+ "65",
+ "80",
+ "58",
+ "1",
+ "False"
+ ],
+ [
+ "11",
+ "Blastoise",
+ "Water",
+ null,
+ "79",
+ "83",
+ "100",
+ "85",
+ "105",
+ "78",
+ "1",
+ "False"
+ ],
+ [
+ "12",
+ "Mega Blastoise",
+ "Water",
+ null,
+ "79",
+ "103",
+ "120",
+ "135",
+ "115",
+ "78",
+ "1",
+ "False"
+ ],
+ [
+ "13",
+ "Caterpie",
+ "Bug",
+ null,
+ "45",
+ "30",
+ "35",
+ "20",
+ "20",
+ "45",
+ "1",
+ "False"
+ ],
+ [
+ "14",
+ "Metapod",
+ "Bug",
+ null,
+ "50",
+ "20",
+ "55",
+ "25",
+ "25",
+ "30",
+ "1",
+ "False"
+ ],
+ [
+ "15",
+ "Butterfree",
+ "Bug",
+ "Flying",
+ "60",
+ "45",
+ "50",
+ "90",
+ "80",
+ "70",
+ "1",
+ "False"
+ ],
+ [
+ "16",
+ "Weedle",
+ "Bug",
+ "Poison",
+ "40",
+ "35",
+ "30",
+ "20",
+ "20",
+ "50",
+ "1",
+ "False"
+ ],
+ [
+ "17",
+ "Kakuna",
+ "Bug",
+ "Poison",
+ "45",
+ "25",
+ "50",
+ "25",
+ "25",
+ "35",
+ "1",
+ "False"
+ ],
+ [
+ "18",
+ "Beedrill",
+ "Bug",
+ "Poison",
+ "65",
+ "90",
+ "40",
+ "45",
+ "80",
+ "75",
+ "1",
+ "False"
+ ],
+ [
+ "19",
+ "Mega Beedrill",
+ "Bug",
+ "Poison",
+ "65",
+ "150",
+ "40",
+ "15",
+ "80",
+ "145",
+ "1",
+ "False"
+ ],
+ [
+ "20",
+ "Pidgey",
+ "Normal",
+ "Flying",
+ "40",
+ "45",
+ "40",
+ "35",
+ "35",
+ "56",
+ "1",
+ "False"
+ ],
+ [
+ "21",
+ "Pidgeotto",
+ "Normal",
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