Results 1 to 9 of 9

Math Help - Type II Error Question

  1. #1
    Newbie
    Joined
    Mar 2011
    Posts
    10

    Question Type II Error Question

    You have made a type II error. Which statement is correct

    1The alternative hypothesis is false, and you rejected the null
    2.The alternative hypothesis is true, and you rejected the null
    3.The alternative hypothesis is false, and you did not reject the null
    4.The alternative hypothesis is true, and you did not reject the null
    5.None of these are correct
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,236
    Thanks
    28
    A type II error in hypothesis testing describes the event of accepting a null hypothesis that is actually false.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Mar 2011
    Posts
    10
    Quote Originally Posted by pickslides View Post
    A type II error in hypothesis testing describes the event of accepting a null hypothesis that is actually false.
    Thus, 3 is correct then?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,236
    Thanks
    28
    Of the options 1-4, option 4 seems the most correct, logically speaking.

    Quote Originally Posted by mrcode View Post

    4.The alternative hypothesis is true, and you did not reject the null
    I was always taught not to use the terminology "The alternative hypothesis is true", its best just to say their is evidence to suggest the null hypothesis should be rejected, and you failed to reject it. So on terminology alone I would pick option 5.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Newbie
    Joined
    Mar 2011
    Posts
    10
    Pickslides,

    You're really confusing me here. Is 4 really not right? And if so, why is 5 right?
    Quote Originally Posted by pickslides View Post
    Of the options 1-4, option 4 seems the most correct, logically speaking.



    I was always taught not to use the terminology "The alternative hypothesis is true", its best just to say their is evidence to suggest the null hypothesis should be rejected, and you failed to reject it. So on terminology alone I would pick option 5.
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,236
    Thanks
    28
    If terminology is an issue here I would pick 5, although that is me splitting hairs.

    Option 4 seems logically correct.
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Senior Member
    Joined
    Oct 2009
    Posts
    340
    It is 4, and terminology isn't an issue IMO. Assuming the model is correct, the alternative is either true or false; a type II error is failing to reject the null hypothesis when the alternative is true.

    What people typically have a problem with, terminology wise, is saying "I accept the null hypothesis" or similar statements. In a decision-theoretic context the distinction is meaningless, so I tend not to split hairs, although some instructors (typically introductory-level stat teachers) can be incredibly anal about these things.
    Follow Math Help Forum on Facebook and Google+

  8. #8
    MHF Contributor matheagle's Avatar
    Joined
    Feb 2009
    Posts
    2,763
    Thanks
    5
    4
    Follow Math Help Forum on Facebook and Google+

  9. #9
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,236
    Thanks
    28
    We seem to be converging on 4.
    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 error and type 2 error
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: November 21st 2010, 09:56 PM
  3. What exactly is a Type II Error
    Posted in the Advanced Statistics Forum
    Replies: 8
    Last Post: May 9th 2009, 03:50 AM
  4. Type I/II Error
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: March 3rd 2009, 08:30 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