Question

Questions 4-6. Professor Ivy has determined that 10% of students have dyslexia. The school purchases a test that can detect dyslexia with 95% accuracy. Tested Positive Tested Negative Total Dyslexic 100 Not Dyslexic Total 1000 Fill out this table for the 1000 students. If the test says you are dyslexic, what are the chances that you aren't dyslexic? % (enter answer as a percent rounded to the nearest tenth as needed)

Answer 1

SOLA Given: 100 10% student have dyslexia : 10 x1000 100 But as the test can detect only with 95% accuracy ✓ Thus, there is an error of 5%. Thus 5% of loo Students will be negative 75 100 5 100 Now, as 90%. Students don't have dyslexia : 90 1000 900 Х 100 again as there is error of 54. Of 900 will be tested Positive Thus 5 Х 45 100 Therefore the table: 900 Dyslexic Not Dyslexic Tested Positive Tested Negative Total 95 100 45 855 900 860 1000 Total 140 chances that not dyslexic : you are → 145 x 100 32.147