5.1 Consider the single response variable Y with Y Bin(n,). a. Find the Wald statistic (b ) T I(b ), where b

5.1 Consider the single response variable Y with Y ∼ Bin(n,π).

a. Find the Wald statistic (πb − π)

T I(πb − π), where πb is the maximum likelihood estimator of π and I is the information.

b. Verify that the Wald statistic is the same as the score statistic U T I

−1U in this case (see Example 5.2.2).