Feat: activité sur l'intervalle de confiance
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\documentclass[a4paper,10pt]{article}
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\usepackage{myXsim}
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\usepackage{wasysym}
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\author{Benjamin Bertrand}
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\title{Intervalle de confiance}
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\date{Décembre 2020}
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\tribe{Enseignements Scientifiques}
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\newcommand\cours{%
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\begin{bclogo}[barre=none, arrondi=0.1, logo=]{Cours: Intervalle de confiance}
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On cherche à estimer $p$ la proportion d'un caractère d'une population. Pour cela, on fait un échantillon de $n$ individus de cette population et l'on calcule $f$ la fréquence (proportion) du caractère dans cet échantillon.
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On peut définir \textbf{l'intervalle de confiance à 95\%}
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\[
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IC_{95\%} = \intFF{f - \frac{1}{\sqrt{n}}}{f+\frac{1}{\sqrt{n}}}
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\]
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Alors $p$ est dans cet intervalle avec une probabilité de 95\%.
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\end{minipage}
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\hfill
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\includegraphics[scale=0.6]{./fig/confiance}
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}
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\begin{document}
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\cours
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\cours
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\documentclass[a5paper,10pt]{article}
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\usepackage{myXsim}
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\usepackage{wasysym}
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\author{Benjamin Bertrand}
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\title{Intervalle de confiance}
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\date{Décembre 2020}
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\tribe{Enseignements Scientifiques}
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\begin{document}
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\maketitle
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\begin{doc}{Deux phénotypes de l’épervier strié}
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% Issu du livre scolaire
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L’épervier strié est un poisson qui vit dans les récifs coralliens. Il existe sous deux phénotypes : sombre et clair. Un recensement des formes claires et sombres a été effectué le long de cinquante-quatre transects, de la surface jusqu’au fond du lagon.
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\begin{tabular}{|p{2cm}|p{2cm}|p{2cm}|}
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\hline
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Nombre de Poissons & Profondeur < 5m & Profondeur > 5m \\
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\hline
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Sombre & 538 & 20 \\
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\hline
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Clairs & 310 & 238 \\
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\hline
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\end{tabular}
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\medskip
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Peut-on affirmer que les poissons sombres préfèrent vivre proche de la surface?
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\end{doc}
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\begin{doc}{Sondage d'élection}
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Deux candidats se présentent à une élection. Un sondage est commandé pour chercher à prédire les résultats. Il est fait sur 1302 électeurs. 629 déclarent qu'ils projettent de voter pour le candidat A et le reste pour le candidat B.
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\medskip
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Peut-on affirmer que le candidat $A$ a aucune chance d'être élu?
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\end{doc}
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\begin{doc}{Compétition entre établissements}
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Trois établissements scolaires revendiquent être les meilleurs pour préparer leurs élèves au bac. Voici leurs résultats pour l'année dernière.
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\begin{tabular}{|c|c|c|}
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\hline
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Nombre d'élèves & Reçut & Refusé \\
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\hline
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Lycée A & 40 & 13 \\
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\hline
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Lycée B & 87 & 36 \\
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\hline
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Lycée C & 140 & 16 \\
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\hline
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\end{tabular}
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\medskip
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Peut-on affirmer qu'un établissement est meilleur qu'un autre?
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\end{doc}
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\end{document}
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After Width: | Height: | Size: 14 KiB |
|
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@ -33,10 +33,17 @@ Simulation de la variation de la taille de la population trouvée avec cette mé
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|||
|
||||
Estimation d'une proportion d'une population avec l'échantillonnage.
|
||||
|
||||
.. image:: ./4B_confiance.pdf
|
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:height: 200px
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:alt: Cours sur l'intervalle de confiance
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.. image:: ./4E_confiance.pdf
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:height: 200px
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:alt: Documents pour travailler l'intervalle de confiance
|
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Étape 4: Hardy-Weinberg
|
||||
=======================
|
||||
|
||||
|
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.. image:: ./3E_Hardy_Weinberg.pdf
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:height: 200px
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:alt: Étude du modèle d'équilibre de HW
|
||||
|
|
|
|||
Loading…
Reference in New Issue