1) Your company markets a computerized device for detecting high blood pressure. The device measures an individual's blood pressure once per hour at a randomly selected time throughout a 12-hour period. Then it calculates the mean systolic (top number) pressure for the sample of measurements. Based on the sample results, the device determines whether there is significant evidence that the individual's actual mean systolic pressure is greater than 130. If so, it recommends that the person seek medical attention. a) State appropriate null and alternative hypotheses in this setting. Be sure to define your parameter. *See number 4 if you need some guidance with this!) (3 points) p= b) Describe a Type I and a Type II error, and explain the consequences of each. (4 points) Type I: Type II: 2) You read that a statistical test at a significance level of has a power of 0.78. What are the probabilities of Type I and Type II errors for this test? (2 points) P(Type I) = P(Type II) = 3) You read that a statistical test at a significance level of has a probability 0.14 of making a Type II error when a specific alternative is true. What is the power of the test against this alternative? (2 points) Power = For Questions 4 and 5, you can use this applet: 4) What Affects Power? There are four things that primarily affect the power of a test of significance. Use the applet to determine how each of the following are affected: (8 points) 1. Significance Level 2. The Sample Size 3. Variability 4. The difference between the hypothesized value of a parameter and its true value 5) A drug manufacturer claims that fewer than 10% of patients who take its new drug for treating Alzheimer's disease will experience nausea. To test this claim, a significance test is carried out with Ho: p = 0.10 Ha: p