1. Not finding help here? Sign up for a free 30min 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!

Bernoulli confidence intervals

  1. Aug 1, 2010 #1
    Confidence intervals

    1. The problem statement, all variables and given/known data[/

    Use CLT to construct approximate 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


    3. The attempt at a solution


    When [L,1] then we have a one sided confidence interval.
    What we effectively need to show is that the area under the normal curve from -inf to alpha/2 is equal to the area under the curve from -inf to alpha/4 + the area under the curve from alpha/4 to inf
    I was going to look at the error function as a way to solve this. I havent managed it though. Any thoughts?
     
    Last edited: Aug 2, 2010
  2. jcsd
  3. Aug 2, 2010 #2
    This isn't related to Bernoulli. Thanks to CLT we assume normality so the question is how to formally prove the above in a mathematical way.
    Can we just use the CDF?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Bernoulli confidence intervals
  1. Confidence Intervals (Replies: 1)

  2. Confidence Interval (Replies: 0)

  3. Confidence interval (Replies: 0)

  4. Confidence Intervals (Replies: 5)

  5. Confidence interval (Replies: 0)

Loading...