Chp09 Audit Sampling

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    Slide 9- 2

    Audit Sampling Defined

    SAS No. 39 defines audit sampling asthe application of an audit procedure to

    less than 100 percent of the items withinan account balance or class oftransactions for the purpose of

    evaluating some characteristic of thebalance or class (AU 350.01).

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    Slide 9- 3

    Advantages ofStatistical Sampling

    Design efficient samples

    Measure sufficiency of evidence

    Objectively evaluate sample results

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    Requirements ofAudit Sampling Plans

    When planning the sample consider:

    The relationship of the sample to the relevant audit objective

    Materiality or the maximum tolerable misstatement ordeviation rate

    Allowable sampling risk

    Characteristics of the population

    Select sample items in such a manner that they can beexpected to be representative of the population

    Sample results should be projected to the population

    Items that cannot be audited should be treated asmisstatements or deviations in evaluating the sampleresults

    Nature and cause of misstatements or deviations should

    be evaluated

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    Slide 9- 5

    Selection of Random Sample

    Random number tables

    Random number generators

    Systematic selection

    Haphazard Selection

    Note that these methods are often used in conjunction

    with a stratification process.

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    Slide 9- 6

    Terminology

    Sampling risk

    Risk of assessing CR too high / Risk of

    incorrect rejection Risk of assessing CR too low / Risk of

    incorrect acceptance

    Precision (allowance for sampling risk)

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    Types of StatisticalSampling Plans

    Attributes sampling

    Discovery sampling

    Classical variables sampling

    Probability-proportional-to-size sampling

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    Attribute Sampling Applied ToTests Of Controls

    Attribute sampling is a statistical methodused to estimate the proportion of a

    characteristic in a population. The auditor is normally attempting to

    determine the operating effectiveness of

    a control procedure in terms ofdeviations from the prescribed internalcontrol.

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    Sampling Risk forTests of Controls

    CorrectDecision

    IncorrectDecision

    (Risk of Assessing

    Control Risk

    Too High)

    IncorrectDecision

    (Risk of Assessing

    Control Risk

    Too Low)

    CorrectDecision

    True State of Population

    Deviation Rate Deviation RateExceeds Is Less Than

    Auditors Conclusion Tolerable Rate Tolerable Rate

    From the Sample Is:

    Deviation RateExceeds

    Tolerable Rate

    Deviation RateIs Less ThanTolerable Rate

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    Attribute Sampling forTests of Controls

    Determine the objective of the test

    Define the attributes and deviation conditions

    Define the population to be sampled

    Specify:

    The risk of assessing control risk too low

    The tolerable deviation rate

    The estimated population deviation rate

    Determine the sample size

    Select the sample Test the sample items

    Evaluate the sample results

    Document the sampling procedure

    Planning

    Performance

    Evaluation

    Documentation

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    Discovery Sampling

    A modified case of attributes sampling

    Purpose is to detect at least one deviation (i.e.

    critical deviations) Useful in fraud detection

    Auditor risk and deviation assessments:

    Risk of assessing control risk too low (i.e. 5%) Tolerable rate (normally set very low, i.e. < 2%)

    Expected deviation rate is generally set at 0

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    NonstatisticalAttributes Sampling

    Determination of required sample size Must consider risk of assessing control risk too low

    and tolerable deviation rate

    Need not quantify the risks Evaluation of results

    Compare tolerable deviation rate to sampledeviation rate. Assuming appropriate n: If SDR somewhat less than TDR, then conclude that risk

    of assessing control risk too low is set appropriately. If SDR approaches TDR it becomes less likely that PDR SI, PM = actual misstatement

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    Slide 9- 28

    PPS SamplingEvaluation of Sample Results

    Allowance for sampling risk Basic precision = SI x RF0

    Incremental allowance

    If no misstatements in sample found, IA = 0

    If misstatements found:

    For misstatements in which BV < SI, rank order

    projected misstatements from largest to smallest,multiply by corresponding incremental factor(from Table 9-14) and sum to calculate IA.

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    PPS SamplingEvaluation of Sample Results

    Compare ULM to TM:

    If ULM < TM, conclude that population is not

    misstated by more than TM at the specifiedlevel of sampling risk.

    If ULM > TM, conclude that the sample resultsdo not provide enough assurance that the

    population misstatement is less than the TMand balance adjustment may be warranted.