Results 1 to 8 of 8

Math Help - Hypothesis testing

  1. #1
    Member roshanhero's Avatar
    Joined
    Aug 2008
    Posts
    176

    Hypothesis testing

    The controller of examination of certain university claimed that at least 60% of the students have passed in the university.An examination is conducted to a random sample of 200 students and it is found that 140 students were passed in the examination.Test whether the controller is valid or not at 5% level of significance.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor matheagle's Avatar
    Joined
    Feb 2009
    Posts
    2,763
    Thanks
    5
    =.6" alt="H_0=.6" /> vs. >.6" alt="H_a>.6" />.

    You can also use \le .6" alt="H_0\le .6" />.

    You approximate via the CLT with a normal, most people ignore the \pm .5 here.

    The rejection region is (1.645,\infty) and the test stat is

     {\hat P-P_0\over \sqrt{{P_0Q_0\over n}}}={.7-.6\over \sqrt{{(.6)(.4)\over 200}}} (I only used capitals so you could read this.)
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member roshanhero's Avatar
    Joined
    Aug 2008
    Posts
    176
    If the null hypothesis is p=0.6
    What should be the alternative hypothesis?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor matheagle's Avatar
    Joined
    Feb 2009
    Posts
    2,763
    Thanks
    5
    Quote Originally Posted by roshanhero View Post
    If the null hypothesis is p=0.6
    What should be the alternative hypothesis?
    I typed it right above, p>.6 in either case.
    This is what you want to prove.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Member roshanhero's Avatar
    Joined
    Aug 2008
    Posts
    176
    But, for the controller to be proved invalid,can't we use in alternative hypothesis,p<0.6
    Follow Math Help Forum on Facebook and Google+

  6. #6
    MHF Contributor matheagle's Avatar
    Joined
    Feb 2009
    Posts
    2,763
    Thanks
    5
    I am trying to prove this claim...
    controller of examination of certain university claimed that at least 60%

    AND the statement....the controller is valid.... ISN'T clear at all
    It should say... the controller CLAIM is valid ....

    IN any case if you want to 'prove' that p<.6, well a sample estimate \hat p=.7 certainly won't have you concluding that p is less than .6
    Last edited by matheagle; May 17th 2009 at 10:57 PM.
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Member roshanhero's Avatar
    Joined
    Aug 2008
    Posts
    176
    Will it be a one tail test or a two tail test.
    Follow Math Help Forum on Facebook and Google+

  8. #8
    MHF Contributor matheagle's Avatar
    Joined
    Feb 2009
    Posts
    2,763
    Thanks
    5
    I already gave you my opinion.
    Last edited by matheagle; May 19th 2009 at 08:25 PM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Hypothesis testing.
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: July 7th 2010, 08:26 PM
  2. Hypothesis testing help !
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: April 22nd 2010, 01:48 PM
  3. Hypothesis testing.
    Posted in the Advanced Statistics Forum
    Replies: 6
    Last Post: April 22nd 2010, 04:57 AM
  4. Hypothesis testing
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: April 17th 2010, 03:57 PM
  5. Hypothesis Testing!
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: August 4th 2008, 07:45 PM

Search Tags


/mathhelpforum @mathhelpforum