The Transportation Security Administration (TSA) is responsible for airport security. On some flights, TSA officers randomly select passengers for an extra security check before boarding. One such flight has 76 passengers (12 in first class and 64 in coach). TSA officers selected an SRS of 10 passengers for screening. Let p-hat be the proportion of first class passengers in this sample. So, assuming that you are checking for the probability of choosing a first class passenger out of all passengers on the flight. Is the 10% condition met in this case? Justify your answer. (POS 447#31)
- Yes, 10 passengers out of 76 is less than 10% of the population of the flight.
- yes, 10 passengers out of all passengers on all flights is less than 10% of the population
- No, 10 passengers is the population being studied and is not less than 10% of the 10 total
- No, 10 passengers out of 76 is more than 10% of the population of the flight.
