Question

39. Airport security The Transportation Security Administration (TSA) is responsible for airport safety. On some flights, TSA officers randomly select passengers for an extra security check before boarding One such flight had 76 passengers-12 in first class and 64 in coach class. TSA officers selected an SRS of 10 passengers for screening. Let p be the proportion of first-class passengers in the sample Is the 10% condition met in this case? Justify your answer (a) (b) Is the Large Counts condition met in this case? Justify your answer.

Answer 1

a)

The 10% condition states that sample sizes should be no more than 10% of the population.

No

sample size = 10

population size = 76

b)

The Large Enough Sample Condition tests whether you have a large enough sample size compared to the population. A general rule of thumb for the Large Enough Sample Condition is that n≥30, where n is your sample size.

n = 10

No