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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 B = 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 0.51. 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 7 to 10 (inclusive) , we will not reject the null hypothesis that p = 0.51. . Otherwise, we will conclude that p / 0.51. Round all answers to 4 decimals. 1. Calculate a = P(Type I Error) assuming that p = 0.51. Use the Binomial Distribution. 2. Calculate S = P(Type II Error) for the alternative p = 0.24. Use the Binomial Distribution. 3. Find the power of the test for the alternative p = 0.24. Use the Binomial Distribution