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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.A sociologist claims the probability that a person picked at random in Grant Park in Chicago is visiting the area is {1.51. You want to test to see if the proportion different from this value. To test the hypothesis that the proportion is different from the given value, a random sample of 14 people is collected. - If the number of people in the sample that are visiting the area is anywhere from 3' to 10 {inclusive} , we will not reject the null hypothesis that p = [1.51. - Otherwise, we will conclude that}? i {1.51. Round all answers to 4 decimals. 1. Calculate a = P(Type I EHOI] assuming that p = 0.51. Use the Binomial Distribution. 2. Calculate ,8 = P[Type H Error) for the alternative 15) = 0.24. Use the Binomial Distribution. 3. Find the power of the test for the alternative 3:! = [1.24. Use the Binomial Distribution