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Hypothesis Testing (Conceptual Problem)

  1. Mar 28, 2013 #1
    1. The problem statement, all variables and given/known data
    This is not a homework problem, rather it is a conceptual question.

    I am wondering if the below is an accurate illustration to explain why I reject the null hypothesis.
    Such that
    [itex] H_{0}: \mu=\mu_{0} [/itex]
    [itex] H_{a}: \mu\ne\mu_{0} [/itex]

    By relating the reasoning with the diagram attached.
    1) [itex] \mu_{0} [/itex]is not in the confidence interval
    2) [itex] p-value < \alpha [/itex]

    Please suggest and comments :)
     

    Attached Files:

    Last edited: Mar 28, 2013
  2. jcsd
  3. Mar 28, 2013 #2
    What exactly are you asking? As I understand it, you are asking if those two reasons are adequate to reject ##H_0##, in which case, it almost follows directly from the definition of the ideas of confidence intervals and significance tests that they are.
    I don't think you are asking that. Would you please clarify what you are asking?
     
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