Answer Happy

3. Complete the table related to 10,000 people who are asked if they are a spy, and because being a spy means going to prison, everyone says "I'm not a spy." a. [4 pts] Use the clues to complete the table: Assume 10% of all people are a spy. If a suspect is a spy, the machine is 50% accurate. If a suspect is not a spy, the machine is 98% accurate. NOTE: someone showing "negative" on the test is determined to be a spy. Spy Not a Spy Totals Positive test Negative test Totals 10,000 b. [3 pts] Convert your table into a Venn diagram by labeling and putting in the correct numbers: $5 c. [2 pts] Find P(Negative). d. [3 pts] Find the probability that someone was not a spy, if you know they tested negative. c. [3 pts] Find and interpret P(Negative | Not a spy). f. [2 pts] If someone who tests negative is sent to prison for being a spy, would a false positive or false negative be considered worse? Explain. g. [3 pts] Why are "Testing Negative" and "Not a Spy" dependent? Confirm your answer with mathematical evidence and why this is a good thing.