:5aa. A box contains 10,000 tickets. A simple random sample of 100 tickets is drawn from the box. The sum of the numbers on the 100 tickets in the sample is 10,000. The SD of the numbers on the 100 tickets in the sample is 20. 20 of the 100 tickets in the sample are marked with a 4. An approximate 99.7% confidence interval for the percentage of tickets in the box which are marked with a 4 is given by

a. 20% 12%

b. 20% 8%

c. 20% 4%

d. 20% 2%

e. 20% 1%