c)Suppose that the results of carrying out the hypothesis test lead to non-rejection of the nullhypothesis. Classify that conclusion by error type or as a correct decision if in fact the meanage at diagnosis of all people with early-onset dementia is less than 55 years old. Supposethat the manufacturer of a new COVID-19 vaccine in South Africa wants to test the nullhypothesis Ho: 0= 0.90 against the alternative hypothesis H₁:0 = 0.60. She defined her teststatistic Y as a number of patients recovered from COVID-19 after an observed twenty trials.If she decided to accept H, and assume y > 14,i) What will be her Type I error and the power of the test.ii) Explain how the probability of Type II error can be reduced in this case and how it will affectType I error. Give a practical example. c)Suppose that the results of carrying out the hypothesis test lead to non-rejection of the nullhypothesis. Classify that conclusion by error type or as a correct decision if in fact the meanage at diagnosis of all people with early-onset dementia is less than 55 years old. Supposethat the manufacturer of a new COVID-19 vaccine in South Africa wants to test the nullhypothesis Ho: 0= 0.90 against the alternative hypothesis H₁:0 = 0.60. She defined her teststatistic Y as a number of patients recovered from COVID-19 after an observed twenty trials.If she decided to accept H, and assume y > 14,i) What will be her Type I error and the power of the test.ii) Explain how the probability of Type II error can be reduced in this case and how it will affectType I error. Give a practical example.

Answered: Suppose that the results of carrying…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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