1. Ms. Hogan and Ms. Brantley believe that less than 30% of students at Olympia High School completed their math homework last week. They enlist the help of all the math teachers and select a random sample of students and determine the percentage of those who completed their homework last week. 2. A company claims they have a diagnostic test that can detect cancer 90% of the time for those who have cancer. 150 people who have been diagnosed with cancer are given this diagnostic test. 108 of the individuals is identified as having cancer. Does this study provide convincing evidence that percentage of those diagnosed by this test is different than the company claims