Un club universitario planea una noche de cine en el plantel. A una muestra aleatoria de estudiantes se les preguntó, cuál de las cuatro peliculas preferian ver. Estos son los resultados. Película favorita Número de estudiantes Número de estudiantes Pelicula A 42 Pelicula B 36 Pelicula C 20 Pelicula D 22 Película favorita "Número de estudiantes" Pelicula A 42 Pelicula B 36 Pelicula C 20 Pelicula D 22 Hay un total de 800 estudiantes en el plantel. Basado en esta información, ¿cuántos estudiantes en el plantel debemos esperar que prefieran la Película A? Redondear la respuesta al número natural más cercano. No redondear ninguno de los cálculos intermedios. ◻

<p> This is a question about proportions. The information provided shows the preferences of a random sample of students for four different movies, with the number of students who prefer each movie. We are asked to predict, based on these proportions, how many students on the entire campus (of 800 students) would prefer Movie A. <br /><br />Firstly, sum the number of students who provided their movie selection in the survey to find the total number surveyed.<br /><br />- Movie A: 42 students<br />- Movie B: 36 students<br />- Movie C: 20 students<br />- Movie D: 22 students<br /><br />Adding these together gives a sum up to 120 students (42+36+20+22=120).<br /><br />To calculate an estimation of the entire campus of 800 students we find the proportion of students who choose Movie A in the survey (42 out of 120) and scale it up using simple ratios:<br /><br />(Number of students who prefer movie A/ Total number of students in the survey) x Total number of students on campus = Estimated number of students on campus who prefer Movie A</p>