Question

Independent random samples of

n₁ = 700

and

n₂ = 590

observations were selected from binomial populations 1 and 2, and

x₁ = 337

and

x₂ = 375

successes were observed.

(a) Find a 90% confidence interval for the difference (p₁ − p₂) in the two population proportions. (Round your answers to three decimal places.)

Answer 1

The statistical software output for this problem is :

A 90% confidence interval for the difference (p₁ − p₂) in the two population proportions is :

(-0.199 , -0.109)