#1 \"by hand\" know where the numbers are coming from 1. [3.5 points) Complete the following problem BY HAND. Show all of your work. You may use Excel to help perform the calculations, but show example calculations of all your work. Suppose that a test has been developed to detect whether or not a person is infected with Virus X. It sometimes gives incorrect diagnoses, however. In a random sample of 300 people, 70 people tested positive for the virus and actually had it, 50 people tested positive for the virus and did not have it, 20 people tested negative for the virus and actually had it, and 160 people tested negative for the virus and did not have it. *inde endent of each other Don't have the virus 50 160 Have the virus Positive 70 Negative 20 Test Result