Question
Suppose that the proportion of people who are randomly searched at an airport is p=0.15 The security and customs administrator at this airport suspects that they have been screening people less lately and wants to know if in fact p = 0.15 so he decides observe 30 randomly selected people at the airport and observe that 3 people were checked. When calculating the proportion of his sample he obtained p = 0.10 What should be the null hypothesis (Ho) vs alternative hypothesis (H1)?
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Answer to a math question Suppose that the proportion of people who are randomly searched at an airport is p=0.15 The security and customs administrator at this airport suspects that they have been screening people less lately and wants to know if in fact p = 0.15 so he decides observe 30 randomly selected people at the airport and observe that 3 people were checked. When calculating the proportion of his sample he obtained p = 0.10 What should be the null hypothesis (Ho) vs alternative hypothesis (H1)?
Fred
4.4111 Answers
Para plantear las hipótesis nula (H0) y alternativa (H1) en este caso, se considera lo siguiente:
- Hipótesis nula (H0): La proporción real de personas revisadas en el aeropuerto sigue siendo $p=0.15$.
H_0: p = 0.15
- Hipótesis alternativa (H1): La proporción real de personas revisadas en el aeropuerto ha disminuido y ahora es menor que 0.15.
H_1: p < 0.15
En resumen, las hipótesis son:
H_0: p = 0.15 \quad \text{vs.} \quad H_1: p < 0.15
Las hipótesis sugeridas son las adecuadas para el escenario planteado.
- Hipótesis nula (H0): La proporción real de personas revisadas en el aeropuerto sigue siendo $p=0.15$.
- Hipótesis alternativa (H1): La proporción real de personas revisadas en el aeropuerto ha disminuido y ahora es menor que 0.15.
En resumen, las hipótesis son:
Las hipótesis sugeridas son las adecuadas para el escenario planteado.
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