Can Both Hypotheses be Accepted with a Confidence Level of 68%?

  • Level: Graduate 
  • Thread starter Thread starter cutesteph
  • Start date Start date
  • Tags Tags
    intervals
Join the discussion
Registration is free. Start your own thread to ask a follow-up.
Sign up Log in
3 replies · 2K views
cutesteph
Messages
62
Reaction score
0
1. Homework Statement
Suppose you receive calls that follow a Poisson process model Y(t).
There are two hypotheses, Hypothesis1: E[Y(t)] = λ1t = 70t and Hypothesis 2: E[Y(t)] = λ2t = 75t. Let t = 30 the number of calls be 2175.

Find and compute a significance level α such that both Hypothesis1 and Hypothesis2 are accepted.
2. Homework Equations

α = P( (u - E[Y] /stdY > c / stdY) 3. The Attempt at a Solution
 
Last edited:
Physics news on Phys.org

Discussion

Good question - how are you attempting the problem?
Presumably you've done problems involving confidence intervals and/or poisson distributon before?
 
Opps, I forgot to type my approach. Since n is big, we can approximate the poisson with the normal.
The variance of a poisson is the same as the expected value.
Or am I suppose to use a two sided test?
 
Last edited:
Well to 68% confidence limits, would you accept both hypotheses?