Math  /  Data & Statistics

Question5. A teacher designed an experiment to see whether students would do better on a quiz when it was copied onto yellow paper rather than the usual white paper. She gave the same test to her first and fifth period classes, randomly selecting the class that would get the test copied onto yellow paper. The other class got the test copied onto white paper. After grading the test, she found that 25 of the 40 students who took the test on yellow paper passed the test as did 30 of the 38 students who took the test on white paper. a. Display the data in a two-way frequency table. b. Overa]l, what proportion of the students did not pass the test? Leave your answer as an unreduced fraction. c. What proportion of the students who did not pass the test took it on white paper? Leave your answer as an unreduced fraction.| d. Match each term below with the best description by writing the letter for the best description in the blank. Note there is one extra description that won't be used.
Term Description \qquad subject A. color of the paper \qquad treatment B. \qquad control group a student one of the classes \qquad C. whether or not a student passed the test lurking variable \qquad response variable D. the class that got the test on white paper E. one class may do better than the other class even if both classes get the same color of paper F. none in this experiment

Studdy Solution

STEP 1

1. Hay dos clases: una recibió el examen en papel amarillo y la otra en papel blanco.
2. Los resultados de los estudiantes se dividen en dos categorías: aprobaron o no aprobaron el examen.
3. Se proporcionan los datos de cuántos estudiantes aprobaron o no aprobaron en cada tipo de papel.

STEP 2

1. Crear una tabla de frecuencia bidireccional.
2. Calcular la proporción total de estudiantes que no aprobaron el examen.
3. Calcular la proporción de estudiantes que no aprobaron el examen y lo tomaron en papel blanco.
4. Emparejar cada término con su mejor descripción.

STEP 3

Crear una tabla de frecuencia bidireccional:
AprobaronNo aprobaronTotalPapel amarillo251540Papel blanco30838Total552378\begin{array}{|c|c|c|c|} \hline & \text{Aprobaron} & \text{No aprobaron} & \text{Total} \\ \hline \text{Papel amarillo} & 25 & 15 & 40 \\ \hline \text{Papel blanco} & 30 & 8 & 38 \\ \hline \text{Total} & 55 & 23 & 78 \\ \hline \end{array}

STEP 4

Calcular la proporción total de estudiantes que no aprobaron el examen:
2378\frac{23}{78}

STEP 5

Calcular la proporción de estudiantes que no aprobaron el examen y lo tomaron en papel blanco:
823\frac{8}{23}

STEP 6

Emparejar cada término con su mejor descripción:
- \text{subject}: B. un estudiante - \text{treatment}: A. color del papel - \text{control group}: D. la clase que recibió el examen en papel blanco - \text{lurking variable}: E. una clase puede hacerlo mejor que la otra clase incluso si ambas clases reciben el mismo color de papel - \text{response variable}: C. si un estudiante aprobó o no el examen

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