Suppose a cancer treatment successfully cures the disease in 60% 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 14 people is collected. . If the number of people in the sample that are cured is less than 11, we will not reject the null hypothesis that p = 0.6. . Otherwise, we will conclude that p > 0.6. Round all answers to 4 decimals. 1. Calculate o = P(Type I Error) assuming that p = 0.6. Use the Binomial Distribution. 2. Calculate S = P(Type II Error) for the alternative p = 0.75. Use the Binomial Distribution. 3. Find the power of the test for the alternative p = 0.75. Use the Binomial Distribution