Suppose that the results of carrying out the hypothesis test lead to non-rejection of the null hypothesis. Classify that conclusion by error type or as a correct decision if in fact the mean age at diagnosis of all people with early-onset dementia is less than 55 years old. Suppose that the manufacturer of a new COVID-19 vaccine in South Africa wants to test the null hypothesis Ho: 0 = 0.90 against the alternative hypothesis H,: 0 = 0.60. She defined her test statistic Y as a number of patients recovered from COVID-19 after an observed twenty trials. If she decided to accept Ho and assume y > 14, i) What will be her Type I error and the power of the test. (6) ii) Explain how the probability of Type II error can be reduced in this case and how it will affect Type I error. Give a practical example. (3)