When conducting tests of controls, auditors often resort to tables or
simplified calculations to arrive at assurance levels. The calculation
s typically result in auditors taking a conservative position compared
to an exact calculation of the assurance level achieved. Even though
commercially available spreadsheets are powerful, they are difficult t
o program to calculate exact levels of probability. This note presents
the underlying statistical formulae for the hypergeometric distributi
on which is appropriate for sampling without replacement for tests of
controls. It develops this theoretical framework into straightforward
instructions useful in many spreadsheet programs. The result can be ex
pected to increase the precision underlying auditors' judgments withou
t incurring the expense of sophisticated software.