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
4.4
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:
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