Results 1 to 2 of 2

Math Help - Type I & II erros- plz help

  1. #1
    Newbie
    Joined
    Oct 2009
    Posts
    3

    Type I & II erros- plz help

    Problem:
    John has to decide which of two discrete distributions a random variable X has. The Probability Dist. are given by the following table.

    X 1 2 3 4 5 6 7
    Po .1 .1 .1 .1 .1 .2 .2
    P1 .1 .2 .1 .1 .2 .1 .2

    John take a single observation and wishes to test the null hypotheses that Po is valid the alternative hypthesis that P1 is true. He has decided to accept the null hypo if he gets a 5, 6 or 7 and reject it.

    a- what is the prob of Type I error?

    b- What is the prob of Type II error?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by sclady View Post
    Problem:
    John has to decide which of two discrete distributions a random variable X has. The Probability Dist. are given by the following table.

    X 1 2 3 4 5 6 7
    Po .1 .1 .1 .1 .1 .2 .2
    P1 .1 .2 .1 .1 .2 .1 .2

    John take a single observation and wishes to test the null hypotheses that Po is valid the alternative hypthesis that P1 is true. He has decided to accept the null hypo if he gets a 5, 6 or 7 and reject it.

    a- what is the prob of Type I error?

    b- What is the prob of Type II error?
    Let p_0 be the probability of getting a 5,6 or 7 given the P_0 is the case, and p_1 be the probability of getting 5,6 or 7 given that P_1 is the case.

    A Type I error is a false positive, so is the probability of getting a 5, 6 or 7 given that P_1 is the case.

    A Type II error is a false negative, so is the probability of not getting a 5, 6 or 7 given that P_0 is the case.

    CB
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Type I and Type II error
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: November 26th 2011, 07:42 AM
  2. Type 1 and Type 2 Errors
    Posted in the Statistics Forum
    Replies: 1
    Last Post: May 31st 2011, 08:51 AM
  3. Super stuck on Type 1 and Type 2 errors
    Posted in the Statistics Forum
    Replies: 0
    Last Post: January 29th 2010, 12:06 PM
  4. Type I and Type II errors with sigma given...
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: January 20th 2010, 03:09 PM
  5. Type 1/ Type 2 Error Question
    Posted in the Statistics Forum
    Replies: 4
    Last Post: August 3rd 2008, 06:51 AM

Search Tags


/mathhelpforum @mathhelpforum