## Audit Sampling (SA 530)
### Definition
Application of audit procedures to less than 100% of items within a population of audit relevance such that:
- All sampling units have a chance of selection
- Results provide a reasonable basis to draw conclusions about the entire population
### Sampling Risk
Risk that the auditor's conclusion based on a sample differs from the conclusion that would have been reached if the entire population were subjected to the same audit procedure.
#### Two Types of Erroneous Conclusions
| Tests of Controls | Tests of Details | Consequence | |
|---|---|---|---|
| Type I (Under-reliance / Inefficiency) | Conclude controls are less effective than they actually are | Conclude material misstatement exists when it doesn't | Auditor does more work than necessary → Additional work |
| Type II (Over-reliance / Incorrect Opinion) | Conclude controls are more effective than they actually are | Conclude material misstatement does NOT exist when it does | Inappropriate audit opinion |
> Critical: Type II error is far more serious because it directly compromises audit quality and results in an incorrect opinion being issued.
### Non-Sampling Risk
Risk of erroneous conclusions for any reason NOT related to sampling, for example:
- Using an inappropriate audit procedure
- Misinterpreting evidence obtained
- Failing to recognize a misstatement or deviation
> Non-sampling risk cannot be reduced by increasing sample size. It is managed through proper planning, supervision, and professional care.
### Statistical vs. Non-Statistical Sampling
Statistical sampling requires BOTH:
1. Random selection of sample items (so every item has a known, non-zero chance of selection)
2. Probability theory to evaluate results (including quantification of sampling risk)
Any approach lacking either characteristic is non-statistical sampling.
> Both approaches, when properly applied, can provide sufficient appropriate audit evidence. The advantage of statistical sampling is the ability to measure sampling risk mathematically.