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Given the following choices, select the best hypothesis test to use in this situation.12 participants are randomly selected by their GP to assess the effects of eating fruit on blood sugar levels (mmol/L). Their blood sugar levels were measured for each participant upon entering the trial and again one hour later after eating three pieces of fruit.

Question

Given the following choices, select the best hypothesis test to use in this situation.12 participants are randomly selected by their GP to assess the effects of eating fruit on blood sugar levels (mmol/L). Their blood sugar levels were measured for each participant upon entering the trial and again one hour later after eating three pieces of fruit.

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Solution

Para seleccionar la mejor prueba de hipótesis en esta situación, sigamos los siguientes pasos:

  1. Identificar el tipo de datos y el diseño del estudio:

    • Tenemos 12 participantes.
    • Se mide el nivel de azúcar en sangre (mmol/L) de cada participante en dos momentos: al inicio del ensayo y una hora después de comer tres piezas de fruta.
    • Esto implica que tenemos dos mediciones por participante, lo que sugiere un diseño de medidas repetidas o emparejadas.
  2. Determinar el objetivo del análisis:

    • Queremos evaluar si hay una diferencia significativa en los niveles de azúcar en sangre antes y después de comer fruta.
  3. Seleccionar la prueba de hipótesis adecuada:

    • Dado que estamos comparando dos mediciones del mismo grupo de participantes, la prueba adecuada para este diseño es una prueba t de muestras emparejadas (también conocida como prueba t de diferencias pareadas).
  4. Justificación de la elección:

    • La prueba t de muestras emparejadas es adecuada porque compara las medias de dos mediciones relacionadas (en este caso, los niveles de azúcar en sangre antes y después de comer fruta) para determinar si hay una diferencia significativa entre ellas.

Por lo tanto, la mejor prueba de hipótesis para usar en esta situación es la prueba t de muestras emparejadas.

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