One of the simplest tests of a radiation portal monitor (RPM) is a series of n repeats (a vehicle drive-through) in which the i th repeat records a total number of counts X i and alarms if X i ≥ T where T is an alarm threshold. The RPM performance tests we consider use n repeats to estimate the probability p = P(X i ≥ T). This paper addresses criterion A for testing RPMs, where criterion A is: for specified source strength, we must be at least 95% confident that p ≥ 0.5. To assess criterion A,

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... e consider a distribution-free test and a test relying on assuming the counts X i have approximately a Poisson distribution. Both test options require tolerance interval construction.