23. An experiment consists in determining whether a subject can react to a subliminal communication. To answer this question, a screen is divided into four equal parts four equal parts and the subject is asked to indicate in which region appears a a point of light of low intensity appears. This experiment is repeated 6 times for each subject and the number of correct answers. The distribution of the 41 subjects subjected to the experiment according to the number of correct answers out of six appear in the table below. If the subject answers randomly, we can say that his behavior is not due to a subliminal perception. We We use a binomial distribution with p = 0.25.

Nombre de bonnes Nombre de reponses sujets 0 2 12 2 12 3 9 5 5 ou 6 Apres le regroupement des classes, nous obtenons le tableau suivant: Regroupement des classes Nombre de Repartition Repartition reponses observee theorique 2 7.2971 12 14.5942 12 12.1619 3 et plus 15 6.9468 41 41.0000