only need answers to check after my own work no explanations needed

3 Y 5 1 1 1 1 6 1 1. You're testing a new kind of running shoe to see if it increases your chance of winning races from your current record of 70% wins. You test your hypothesis at a 0.01 level of significance and the power of your test is 99%. a) What is your null and alternative hypothesis? b) What is a Type I and Type II error in context? 2. Recently, a group of researchers devised a 7-minute test to serve as a quick screen for Alzheimer's disease in the general population of senior citizens. A patient who tested positive would then go through the more expensive battery of tests and medical diagnosis. a) What would a Type I error mean in context? b) What would a Type II error mean in context? c) Which is worse in this situation, a Type I or Type II error? Explain