Pregunta
upstudy study bank question image url

As part of a school project students will be randomly sampling from the students in the class. The assignment is to estimate the proportion of students who play on a sports team. Each student will randomly select 6 students. One student found out that 5 of the 6 play a sport. The teacher has collected data from all students and found that out of the 31 students in the class 20 of them played sports. Give the statistic for the percentage of students who play sports. Round your answer to two decimal places. Your Answer: Answer

Ask by Sanders Lang. in the United States
Mar 14,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

64.52% of the students play sports.

Solución

The teacher collected data from \(31\) students and found that \(20\) of them played sports. The proportion of students who play sports is calculated as \[ \frac{20}{31} \approx 0.6452. \] To convert this proportion to a percentage, we multiply by \(100\%\): \[ 0.6452 \times 100\% \approx 64.52\%. \] Thus, the statistic for the percentage of students who play sports is **64.52%**.

Respondido por UpStudy AI y revisado por un tutor profesional

error msg
Explicar
Simplifique esta solución

The Deep Dive

To find the percentage of students who play sports, you would divide the number of students who play sports by the total number of students in the class and then multiply by 100. In this case, that's \( \frac{20}{31} \times 100 \approx 64.52\% \). So, rounded to two decimal places, the statistic is approximately 64.52%. Additionally, you might find it interesting that random sampling is a fundamental concept in statistics that helps researchers draw inferences about a population from a smaller subset. It's widely used in various fields, including psychology, marketing, and healthcare, to ensure that findings are representative and reliable. Statistics isn't just about numbers; it's also key in decision-making processes! For instance, businesses use sampling to understand customer preferences without surveying everyone. One common mistake in sampling is not ensuring the sample is truly random, which can lead to biases. So, always make sure your sampling method is sound for the best results!

preguntas relacionadas

Latest Statistics Questions

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde Hazte Premium
Estudiar puede ser una verdadera lucha
¿Por qué no estudiarlo en UpStudy?
Seleccione su plan a continuación
Prima

Puedes disfrutar

Empieza ahora
  • Explicaciones paso a paso
  • Tutores expertos en vivo 24/7
  • Número ilimitado de preguntas
  • Sin interrupciones
  • Acceso completo a Respuesta y Solución
  • Acceso completo al chat de PDF, al chat de UpStudy y al chat de navegación
Básico

Totalmente gratis pero limitado

  • Solución limitada
Bienvenido a ¡Estudia ahora!
Inicie sesión para continuar con el recorrido de Thoth AI Chat
Continuar con correo electrónico
O continuar con
Al hacer clic en "Iniciar sesión", acepta nuestros términos y condiciones. Términos de Uso & Política de privacidad