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!

Testing for unknown proportion

  1. Apr 17, 2007 #1
    1. The problem statement, all variables and given/known data
    for testing Ho : p = 0.2 vs H1: p > 0.2 when will the power of Rao score test be larger:
    1. alpha = 0.05 n = 10
    2. alpha = 0.01 n = 10

    2. Relevant equations
    Rao score test: reject Ho when |sqrt(n)*(p' - po)/sqrt(po (1-po)| > z(alpha)

    po in this case = 0.2 and p' is estimated proportion from the given data.
    z comes from N(0,1)

    power is defined as 1 - Beta, where Beta is the prob. of making type II error in testing hypothesis, i.e. accepting Ho when H1 is true

    3. The attempt at a solution
    I think (2) since with higher alpha it is easier to reject Ho, but I am a bit doubtful on this.
    Thanks.
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you help with the solution or looking for help too?



Similar Discussions: Testing for unknown proportion
Loading...