A company that records and sells rewritable DVDs wants to compare the reliability of DVD fabricating machines produced by two different manufacturers. They randomly select 500 DVDs produced by each fabricator and find that 484 of the disks produced by the first machine are acceptable and 480 of the disks produced by the second machine are acceptable. Let 1 and 2 = the proportions of acceptable DVDs produced by the first and second machines, respectively. Are the conditions for calculating a confidence interval for 1−2 met?

Random: met
10%: does not apply
Large Counts: met

Random: met
10%: not met
Large Counts: met

Random: met
10%: does not apply
Large Counts: not met

Random: not met
10%: does not apply
Large Counts: met

Random: met
10%: met
Large Counts: met