In Example 10 4 7, two modifications were made to the Wald interval (a) At y 0 the upper interval endpoint was changed to 1 ( 2)1 n, and at y n the lower interval endpoint was changed to ( 2)1 n Justify the choice of these endpoints (b) The second modification was to truncate all intervals to be wi...

a Since and these endpoints are exact an ...

In Example 10.4.7, two modifications were made to the Wald interval. (a) At y = 0 the

Question:

In Example 10.4.7, two modifications were made to the Wald interval.
(a) At y = 0 the upper interval endpoint was changed to 1 - (α/2)1/n, and at y = n the lower interval endpoint was changed to (α/2)1/n. Justify the choice of these endpoints.
(b) The second modification was to truncate all intervals to be within [0, 1], Show that this change, together with the one in part (a), results in an improvement over the original Wald interval.