A manufacturer of flashlights claim that the failure rate of their flashlights is .000002. That is, only two flashlights in a million will fail to produce light, assuming that the batteries in the flashlight are functional. A police department looking to make a major purchase of flashlights is considering this manufacturer. The police department decided to order a sample of the flashlights, test them, and then perform a hypothesis test to evaluate the manufacturer's claim about the failure rate, or create a confidence interval to estimate the failure rate in the population.
Explain the problem with this approach. In other words, why will it not be practical for the police department to carry out this plan?