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alunos de uma escola" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " StudentID Age Gender Ethnicity ParentalEducation StudyTimeWeekly \n", + "0 1001 17 1 0 2 19.833723 \\\n", + "1 1002 18 0 0 1 15.408756 \n", + "2 1003 15 0 2 3 4.210570 \n", + "3 1004 17 1 0 3 10.028829 \n", + "4 1005 17 1 0 2 4.672495 \n", + "... ... ... ... ... ... ... \n", + "2387 3388 18 1 0 3 10.680555 \n", + "2388 3389 17 0 0 1 7.583217 \n", + "2389 3390 16 1 0 2 6.805500 \n", + "2390 3391 16 1 1 0 12.416653 \n", + "2391 3392 16 1 0 2 17.819907 \n", + "\n", + " Absences Tutoring ParentalSupport Extracurricular Sports Music \n", + "0 7 1 2 0 0 1 \\\n", + "1 0 0 1 0 0 0 \n", + "2 26 0 2 0 0 0 \n", + "3 14 0 3 1 0 0 \n", + "4 17 1 3 0 0 0 \n", + "... ... ... ... ... ... ... \n", + "2387 2 0 4 1 0 0 \n", + "2388 4 1 4 0 1 0 \n", + "2389 20 0 2 0 0 0 \n", + "2390 17 0 2 0 1 1 \n", + "2391 13 0 2 0 0 0 \n", + "\n", + " Volunteering GPA GradeClass \n", + "0 0 2.929196 2.0 \n", + "1 0 3.042915 1.0 \n", + "2 0 0.112602 4.0 \n", + "3 0 2.054218 3.0 \n", + "4 0 1.288061 4.0 \n", + "... ... ... ... \n", + "2387 0 3.455509 0.0 \n", + "2388 0 3.279150 4.0 \n", + "2389 1 1.142333 2.0 \n", + "2390 0 1.803297 1.0 \n", + "2391 1 2.140014 1.0 \n", + "\n", + "[2392 rows x 15 columns]" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df1 = pd.read_csv('Student_performance_data _.csv')\n", + "df1" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Index(['StudentID', 'Age', 'Gender', 'Ethnicity', 'ParentalEducation',\n", + " 'StudyTimeWeekly', 'Absences', 'Tutoring', 'ParentalSupport',\n", + " 'Extracurricular', 'Sports', 'Music', 'Volunteering', 'GPA',\n", + " 'GradeClass'],\n", + " dtype='object')" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df1.columns" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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AgeGenderEthnicityParentalEducationGPA
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" + ], + "text/plain": [ + " Age Gender Ethnicity ParentalEducation GPA\n", + "0 17 1 0 2 2.929196\n", + "1 18 0 0 1 3.042915\n", + "2 15 0 2 3 0.112602\n", + "3 17 1 0 3 2.054218\n", + "4 17 1 0 2 1.288061\n", + "... ... ... ... ... ...\n", + "2387 18 1 0 3 3.455509\n", + "2388 17 0 0 1 3.279150\n", + "2389 16 1 0 2 1.142333\n", + "2390 16 1 1 0 1.803297\n", + "2391 16 1 0 2 2.140014\n", + "\n", + "[2392 rows x 5 columns]" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_colunas = df1[['Age', 'Gender', 'Ethnicity', 'ParentalEducation','GPA']]\n", + "df_colunas" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\Jana\\AppData\\Local\\Temp\\ipykernel_8684\\2220151043.py:1: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame.\n", + "Try using .loc[row_indexer,col_indexer] = value instead\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " df_colunas['GPA'] = df_colunas['GPA'].round(2)\n" + ] + }, + { + "data": { + "text/html": [ + "
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AgeGenderEthnicityParentalEducationGPA
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..................
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" + ], + "text/plain": [ + " Age Gender Ethnicity ParentalEducation GPA\n", + "0 17 1 0 2 2.93\n", + "1 18 0 0 1 3.04\n", + "2 15 0 2 3 0.11\n", + "3 17 1 0 3 2.05\n", + "4 17 1 0 2 1.29\n", + "... ... ... ... ... ...\n", + "2387 18 1 0 3 3.46\n", + "2388 17 0 0 1 3.28\n", + "2389 16 1 0 2 1.14\n", + "2390 16 1 1 0 1.80\n", + "2391 16 1 0 2 2.14\n", + "\n", + "[2392 rows x 5 columns]" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_colunas['GPA'] = df_colunas['GPA'].round(2)\n", + "df_colunas" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "media_notas = df_colunas['GPA'].mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "desvio_notas = df_colunas['GPA'].std()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.0012877131103315757 0.9989726612974702\n" + ] + } + ], + "source": [ + "t_statistic, p_value = stats.ttest_1samp(a=df1['GPA'], popmean=media_notas)\n", + "print(t_statistic,p_value)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Não rejeitamos a hipótese nula. Não há evidências suficientes para concluir que a média do GPA dos alunos é diferente da média calculada (1.91).\n" + ] + } + ], + "source": [ + "if p_value < 0.05:\n", + " print(\"Rejeitamos a hipótese nula. A média do GPA dos alunos é significativamente diferente da média calculada.\")\n", + "else:\n", + " print(f\"Não rejeitamos a hipótese nula. Não há evidências suficientes para concluir que a média do GPA dos alunos é diferente da média calculada ({media_notas:.2f}).\")" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Dados do teste t\n", + "t_statistic = 0.0012877131103315757\n", + "p_value = 0.9989726612974702\n", + "n = 2392 # Tamanho da amostra\n", + "plt.figure(figsize=(8, 6))\n", + "plt.hist(df1['GPA'], bins=10, edgecolor='black') # Histograma do GPA\n", + "plt.axvline(media_notas, color='red', linestyle='--', label=f'Média do GPA: {media_notas:.2f}') # Linha vertical da média\n", + "plt.xlabel('GPA')\n", + "plt.ylabel('Número de Alunos')\n", + "plt.title('Distribuição do GPA dos Alunos')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Média de idade das mulheres no ENEM 2019" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Index(['inscricao', 'idade', 'sexo', 'conclusao_ens_med', 'tipo_ens_med',\n", + " 'treineiro', 'cadeira_canhoto', 'gestante', 'idoso',\n", + " 'celular_na_residencia', 'internet_na_residencia',\n", + " 'pessoas_na_residencia', 'renda_mensal_familiar', 'nota_ct', 'nota_ch',\n", + " 'nota_lc', 'nota_mt', 'nota_redacao', 'estado', 'municipio',\n", + " 'municipio_id'],\n", + " dtype='object')" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df2 = pd.read_csv('enem_2019.csv')\n", + "df2.columns" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Estatística z: -423.4594208018838\n", + "Valor p: 1.0\n", + "Não rejeitamos a hipótese nula. Não há evidências suficientes para concluir que a proporção de mulheres com idade maior que 20 anos é maior que 50%.\n" + ] + } + ], + "source": [ + "# Filtrar as mulheres\n", + "df_mulheres = df2[df2[\"sexo\"] == \"F\"][[\"idade\", \"sexo\"]]\n", + "# Contar as mulheres com idade maior que 20 anos\n", + "x = len(df_mulheres[df_mulheres[\"idade\"] > 20])\n", + "# Contar o número total de mulheres\n", + "n = len(df_mulheres)\n", + "# Proporção populacional sob a hipótese nula (50%)\n", + "p0 = 0.5\n", + "# Executar o teste z\n", + "stat, p_value = proportions_ztest(count=x, nobs=n, value=p0, alternative='larger')\n", + "# Nível de significância\n", + "nivel_significancia = 0.05\n", + "print(f\"Estatística z: {stat}\")\n", + "print(f\"Valor p: {p_value}\")\n", + "# Decisão\n", + "if p_value < nivel_significancia:\n", + " print(\"Rejeitamos a hipótese nula. A proporção de mulheres com idade maior que 20 anos é maior que 50%.\")\n", + "else:\n", + " print(\"Não rejeitamos a hipótese nula. Não há evidências suficientes para concluir que a proporção de mulheres com idade maior que 20 anos é maior que 50%.\")" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Gráfico de Distribuição Normal com Área do Valor p')" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Criar o gráfico da distribuição normal\n", + "x = np.linspace(-5, 5, 100)\n", + "y = norm.pdf(x)\n", + "plt.plot(x, y)\n", + "\n", + "# Marcar a estatística z\n", + "plt.axvline(stat, color='red', linestyle='--')\n", + "\n", + "# Sombrear a área do valor p\n", + "x_shade = np.linspace(stat, 5, 100)\n", + "y_shade = norm.pdf(x_shade)\n", + "plt.fill_between(x_shade, y_shade, color='red', alpha=0.5)\n", + "\n", + "# Rotular os eixos\n", + "plt.xlabel(\"Estatística z\")\n", + "plt.ylabel(\"Densidade de Probabilidade\")\n", + "plt.title(\"Gráfico de Distribuição Normal com Área do Valor p\")" + ] + } + ], + "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": "3.10.11" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/exercicios/para-casa/relatorio.md b/exercicios/para-casa/relatorio.md new file mode 100644 index 0000000..0d971d4 --- /dev/null +++ b/exercicios/para-casa/relatorio.md @@ -0,0 +1,61 @@ +## 1. **Introdução** +Neste relatório, analisaremos duas fontes de dados: + +Média de notas dos alunos de uma escola: Utilizando dados coletados em uma pesquisa, buscamos responder a seguinte pergunta: A média de notas registradas é 2,5? Identificar essa média ajudará a escola a tomar medidas cabíveis para aumentar a média ou mantê-la. + +Média de idade das mulheres: Utilizando dados coletados no ENEM 2019, buscamos responder se a proporção de mulheres com mais de 20 anos no conjunto de dados é maior que 50%. Identificar essa média ajudará a identificar a faixa etária mais acessada pelo exame. + +## 2. **Metodologia** +Conjunto de Dados +Student_performance_data _.csv: Dados de desempenho de alunos, disponíveis no Kaggle. +enem_2019.csv: Dados do ENEM 2019, disponíveis no Kaggle. +Teste de Hipóteses +Teste t: Utilizado para analisar as notas dos alunos, comparando a média observada com a média esperada de 2,5. +Teste z: Utilizado para analisar a idade das mulheres, comparando a proporção observada com a proporção esperada de 50%. +Análise +Utilizamos as seguintes bibliotecas: +``` +`#000000`pandas +numpy +matplotlib.pyplot +scipy.stats +statsmodels.stats.proportion +``` +Passos da análise incluem: + +i. Importar as bibliotecas +ii. Carregar o conjunto de dados +iii. Extrair as colunas a serem utilizadas +iv. Realizar os tratamentos de dados necessários +v. Realizar os testes (t e z) +vi. Interpretar o resultado do teste + +## 3. **Resultados** +Análise das Notas + +Resultado: + +Estatística t: 0.0013 +Valor p: 0.999 +Não rejeitamos a hipótese nula. Não há evidências suficientes para concluir que a média do GPA dos alunos é diferente da média calculada de 2.5. + +Análise da Idade das Mulheres +Resultado: + +Estatística z: -423.459 +Valor p: 1.0 +Não rejeitamos a hipótese nula. Não há evidências suficientes para concluir que a proporção de mulheres com idade maior que 20 anos é maior que 50%. + +## 4. **Discussão** +Análise das Notas +O valor de p (0.999) indica que não há evidências estatisticamente significativas para rejeitar a hipótese nula de que a média das notas dos alunos é 2,5. Isso sugere que a média do GPA dos alunos é muito próxima de 2,5, e não há motivos para acreditar que ela seja diferente. + +Análise da Idade das Mulheres +O valor p obtido (1.0) indica que os dados observados não fornecem nenhuma evidência contra a hipótese nula de que a proporção de mulheres com mais de 20 anos é 50%. A estatística z negativa sugere que a maioria das mulheres no conjunto de dados tem idade inferior a 20 anos. + +## 5. **Conclusão** +Média das Notas +Como o valor de p (0.999) é maior que o nível de significância (0.05), não há evidências suficientes para concluir que a média do GPA dos alunos é diferente da média calculada de 2,5. A escola pode considerar manter as estratégias atuais, pois a média observada está alinhada com a expectativa. + +Média de Idade das Mulheres +A estatística z negativa indica que a maioria das mulheres no conjunto de dados tem idade inferior a 20 anos. Como o valor p (1.0) é maior que o nível de significância (0.05), não há evidências suficientes para concluir que a proporção de mulheres com mais de 20 anos é maior que 50%. Isso sugere que a maioria das mulheres que fazem o ENEM são jovens, o que pode ajudar a direcionar políticas educacionais e de divulgação do exame.