1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Confidence Interval question

  1. Aug 3, 2010 #1
    1. The problem statement, all variables and given/known data

    I re-wrote a previous thread just to make it clearer:

    Construct a normal symmetric 100(1-alpha)% confidence interval [L,R] for p then show that [L,1] is then an approximate 100(1-alpha/2)% confidence interval for p

    The normal distribution ranges from 0 to 1

    3. The attempt at a solution

    (1-alpha) = integral from L to R of e^-u^2 du. This means alpha = 1-integral from L to R of e^-u^2 du = integral from -inf to L of e^-u^2 + integral from R to inf of e^-u^2

    When R=1, integral from L to inf of e-u^2 du = (1-beta). beta = 1- integral from -inf to L of e^-u^2 du. Since symmetric, beta = alpha /2
     
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted