3.27 For two parameters, a confidence interval for 01 - 02 based on single-sample estimate and interval (l, u) for , i = 1, 2,

3.27 For two parameters, a confidence interval for 01 - 02 based on single-sample estimate and interval (l₁, u₁) for θ₁, i = 1, 2, is

(01-02 - √(01-11)² + (12-02)², 01 - 02 + √(41 – 01)² + (02-12)2).

Newcombe (1998b) proposed an interval for πι π₂ using the score interval (li, U¡)

for π₁ that performs similarly to the score method of Section 3.2.5. It is (1 - 2 -

Ζα/2SL, π₁ - 2 + Ζα/2SU), with SL =

l₁(1-l₁) 2(1 - 12)

+

n1 n2 SU

+

u(1-4) 12(1-12)

n1 Show that this has the general form above of an interval for 01 – 02.

n2