Q. 2 Let Y ~ Bin(n, 7), when n = 40 and T = 0.2. (a)...

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Q. 2 Let Y ~ Bin(n, 7), when n = 40 and T = 0.2. (a) We observed the value of Y, y = 10. Calculate the 95 % of Wald, Score (Wilson's), Agresti-Coull confidence intervals for T. For this question, calculate them by hands (do not use R functions) (b) Calculate a 95% confidence interval T based on likelihood ratio test. (For this part, you may use R codes that we discussed in class, but do not use any R functions that provides the confidence interval directly) Q. 2 Let Y ~ Bin(n, 7), when n = 40 and T = 0.2. (a) We observed the value of Y, y = 10. Calculate the 95 % of Wald, Score (Wilson's), Agresti-Coull confidence intervals for T. For this question, calculate them by hands (do not use R functions) (b) Calculate a 95% confidence interval T based on likelihood ratio test. (For this part, you may use R codes that we discussed in class, but do not use any R functions that provides the confidence interval directly)