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We have a normal distribution with an acceptance zone of 90%. What is the value of alpha if we have a rejection zone with an upper tail?

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Answer to a math question We have a normal distribution with an acceptance zone of 90%. What is the value of alpha if we have a rejection zone with an upper tail?

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Brice

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Respuesta = En una distribución normal, la zona de aceptación representa el área donde no rechazamos la hipótesis nula, mientras que la zona de rechazo es el área donde sí la rechazamos. El área total bajo la curva normal es siempre 1 (o 100%). ### Dado: - **Zona de aceptación** = 90% = 0,90 - **Zona de rechazo en la cola superior** (que corresponde al área fuera de la zona de aceptación) = 10% = 0,10 El nivel de significancia $ \alpha $ corresponde a la probabilidad de rechazar la hipótesis nula cuando es verdadera, que es exactamente el área en la zona de rechazo. Como la zona de rechazo está en la **cola superior** y es el 10% de la distribución, concluimos: - $ \alpha = 0.10 $ (o 10%). ### Conclusión: El valor de $ \alpha $ es **0,10** (o 10%).

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