1) The power for a two-sided test of the null hypothesis ? =0 versus the alternative ? = 10 is 0.82. What is the powerversus the alternative ? = -10? Explain your answer.
2.) Recently, the use of mammograms to screen for breast cancer was in the news. Let's suppose that 1% of women aged 30 - 40 have breast cancer and that a mammogram detects 90% of all cancers. However, suppose that 20% of the time, a mammogram will indicate that a woman has cancer when she doesn't. If the null hypothesis is that a woman does NOT have breast cancer, what is the probability of a Type I error (Answer 1), the probability of a Type II error (Answer 2), and the power of the test (Answer 3). Provide your answers as decimals (so 5% is reported as 0.05)
Answer 1 =
Answer 2=
Answer 3=
What are the answers to Answer 1, 2, and 3?