Let two independent random variables, Y 1 and Y 2 , with binomial distributions that have parameters n 1 n 2 100, p 1 , and p 2 , respectively, be observed to be equal to y 1 50 and y 2 40 Determine an approximate 90 confidence interval for p 1 p 2 ...

We can use the binomial distribution to calculate a confidence interval for the difference in pr ...

Let two independent random variables, Y 1 and Y 2 , with binomial distributions that have parameters

Question:

Let two independent random variables, Y₁ and Y₂, with binomial distributions that have parameters n₁ = n₂ = 100, p₁, and p₂, respectively, be observed to be equal to y₁ = 50 and y₂ = 40. Determine an approximate 90% confidence interval for p₁ − p₂.