Alpha and Beta Risk

Explain the conceptual and quantitative relationships between Alpha risk and Beta risk when testing hypotheses, and include the impact sample size plays in managing these risk levels.

Don't just write a brief blurb about the definitions of alpha and beta error. In particular, you should be writing about the ways that accepting an Alpha risk increase can impact total risk -- this is what we concentrate on as engineers. Hypothesis testing is a statistical technique, but risk management is an engineering requirement. Also consider what happens to these distributions as we increase the sample sizes being analyzed (Hint: What happens to the standard error as n increases?

Sample Solution