A recent test can determine with 92% accuracy if a student will pass an online math FINAL by measuring the amount of studying done during the week of the test. Let us say that 5,000 students are chosen at random to participate in the survey. If the test shows a positive, the student passed the FINAL. For this survey, approximately 85% of student actually passed their online math FINAL.

• Out of all the people that passed, what are the chances the test was correct and gave the student a positive result?
• If the student had a negative result, what are the chances they actually passed?
• Consider this: If the number in the survey increases from 5,000 up to 50,000, how would that affect the results? In other words, would the percent of people with a false positive increase or decrease? (A false positive are those that failed the test given then had a positive result.)