Employees in a production department assemble the products, then submit them in batches of 25 for quality inspection. The number of defectives in each batch of a random sample of 50 recently produced batches is shown below. At the 0.01 level, test whether the population of x = the number of defectives in a batch could be Poisson distributed with λ = 2.0.

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x Number of Defectives Number of Batches 15 14 10 4 4 50