# Hypothesis Testing (Conceptual Problem)

1. Mar 28, 2013

### icystrike

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
$H_{0}: \mu=\mu_{0}$
$H_{a}: \mu\ne\mu_{0}$

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

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Last edited: Mar 28, 2013
2. Mar 28, 2013

### Mandelbroth

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.