Suppose a cancer treatment successfully cures the disease in 67% of cases. An oncologist is developing a new treatment that they feel will cure this cancer at a higher rate. To test the hypothesis...

Extracted text: Suppose a cancer treatment successfully cures the disease in 67% of cases. An oncologist is developing a new treatment that they feel will cure this cancer at a higher rate. To test the hypothesis that the new treatment is more successful than the previous treatment, a random sample of 20 people is collected. • If the number of people in the sample that are cured is less than 16, we will not reject the null hypothesis that p Otherwise, we will conclude that p > 0.67. 0.67. Round all answers to 4 decimals. 1. Calculate a = P(Type I Error) assuming that p 0.67. Use the Binomial Distribution. 2. Calculate B = P(Type II Error) for the alternative p = 0.82. Use the Binomial Distribution. 3. Find the power of the test for the alternative p 0.82. Use the Binomial Distribution.