3. (Exercise 1.26 from Agresti (2013)) A binomial sample of size n has y = 0...
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3. (Exercise 1.26 from Agresti (2013)) A binomial sample of size n has y = 0 successes. (a) Show that the confidence interval for r based on the likelihood func- tion is (0,1 - e-/2/2"1. For a = 0.05, use the expansion of an exponential function to show that this is approximately [0, 1.92/n]. (b) For the score method, show that the confidence interval is (0, z2/(n+ 3. (Exercise 1.26 from Agresti (2013)) A binomial sample of size n has y = 0 successes. (a) Show that the confidence interval for r based on the likelihood func- tion is (0,1 - e-/2/2"1. For a = 0.05, use the expansion of an exponential function to show that this is approximately [0, 1.92/n]. (b) For the score method, show that the confidence interval is (0, z2/(n+
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