STAT200 Week 6 Homework Question 1. If you perform Hypothesis Testing with alpha level of 0.01 a) What is the probability that true null hypothesis will be accepted? b) What is the probability that true null hypothesis will be rejected? Question 2. True/False: It is easier to reject the null hypothesis if the researcher uses a smaller alpha () level. Question 3. When a new drug is created, the pharmaceutical company must subject it to testing before receiving the necessary permission from the Food and Drug Administration (FDA) to market the drug. Suppose the null hypothesis is \"the drug is safe.\" What is the Type II Error? Check the correct answer: a. To conclude the drug is unsafe when in, fact, it is safe. b. To conclude the drug is safe when, in fact, it is unsafe. Problem 4. A survey was done to see if the mean starting age is at least 19 with the standard deviation = 1.5. Ho: mean starting age 19 Ha: mean starting age < 19 The sample of 40 smokers has mean x=18.1. Do the data support the claim at the significance level 5%? Show work Problem 5. The cost of a daily newspaper varies from city to city. However, the variation among prices remains steady with a population standard deviation of 20. A study was done to test the claim that the mean cost of a daily newspaper is $1.00. Average cost of 12 checked newspapers gave the mean of 95. Do the data support the claim at the significance level 1%? Show work