Results 1 to 2 of 2

Math Help - testing simple hypothesis

  1. #1
    Member
    Joined
    Nov 2008
    From
    MD
    Posts
    165

    testing simple hypothesis

    I understand how i should use f1(x)/f0(x) > a/b to solve this problem but am not sure what to use as f1(x) and f0(x) because they are given as piece wise functions. any help?? should i just use 2x and 1 and solve to get x> 1/4?


    f0(x)= 1 for x between 0 and 1
    0 otherwise
    f1(x)= 2x for x between 0 and 1
    0 otherwise
    Suppose that a single observation X is taken from a distribution for which the pdf f(x) is either f0(x) or f1(x) and the following simple hypothesis are to be tested:
    Null: f(x)= f0(x)
    Alternative: f(x)= f1(x)

    Describe a test procedure for which the value of alpha+2beta is a minimum. And determine the minimum attained by that procedure.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member Sambit's Avatar
    Joined
    Oct 2010
    Posts
    355
    should i just use 2x and 1 and solve to get x> 1/4?
    Yes, if only one random variable is chosen (that is if sample size is 1). Otherwise if the sample size is n,use the joint density functions.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. hypothesis testing
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: July 6th 2010, 07:41 PM
  2. Hypothesis Testing
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: December 2nd 2009, 07:00 AM
  3. hypothesis testing
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: April 3rd 2009, 06:28 PM
  4. Testing Hypothesis
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: January 8th 2009, 01:26 AM
  5. Hypothesis Testing
    Posted in the Statistics Forum
    Replies: 4
    Last Post: April 6th 2008, 06:05 PM

Search Tags


/mathhelpforum @mathhelpforum