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)?

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Fred

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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.

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