DEFINITION of 'Beta Risk'
The probability that a false null hypothesis will be accepted by a statistical test. This is also known as a Type II error. The primary determinant of the amount of beta risk is the sample size used for the test. The larger the sample tested, the lower the beta risk becomes.
INVESTOPEDIA EXPLAINS 'Beta Risk'
An interesting application of hypothesis testing in finance can be done using the Altman Zscore. The Zscore is a statistical model meant to predict the future bankruptcy of firms based on certain financial indicators. Statistical tests of the accuracy of the ZScore have indicated relatively high accuracy, predicting bankruptcy within one year. These tests showed a beta risk (firms predicted to go bankrupt but did not) ranging from approximately 15 to 20%, depending on the sample being tested.

Altman ZScore
The output of a creditstrength test that gauges a publicly traded ... 
Mean
The simple mathematical average of a set of two or more numbers. ... 
Monte Carlo Simulation
A problem solving technique used to approximate the probability ... 
Type I Error
A type of error that occurs when a null hypothesis is rejected ... 
Type II Error
A statistical term used within the context of hypothesis testing ... 
Hypothesis Testing
A process by which an analyst tests a statistical hypothesis. ...

Investing Basics
Beta: Know The Risk

Investing Basics
Beta: Gauging Price Fluctuations

Options & Futures
Trading The Odds With Arbitrage

Trading Systems & Software
Backtesting: Interpreting The Past