An airline claims that 80% of adults have flown at least once. From a sample of 20 teenagers it is found that only 13 have flown at least once, giving reason to believe that the true parameter for teens is less than 80%. Let 0–7 represent having flown at least once (F) and let 8–9 represent never having flown (N). 38869, 61941, 41466, 33325. Using the table of random numbers provided, which gives the correct sequence of students in a simulated sample who have flown at least once (F) and who have not flown at least once (N)?
FFFFN FFNNF FFFNN FFFFN
FNNNN NFNFF FFFNN FFFNN
FNNFN FFNFF FFFFF FFFFF
NFFNF NNFNN NNNNN NNNNN
ANSWER:
A) FFFFN FFNNF FFFNN FFFFN
To simulate the sample of 20 teenagers, we can use the given table of random numbers to assign a value of F (having flown at least once) or N (never having flown) to each student in the sample. The first four digits in the first line of the table (3886, 6194, 4146, 3332) correspond to the first four students in the sample. We can assign an F to each student for the values 0–7 and an N for the values 8–9. Therefore, the first four students in the simulated sample would be FFFF. The fifth student would be assigned an N, as indicated by the final digit in the first line (5). The sequence of students in the simulated sample would therefore be FFFFN.
