To reduce laboratory costs, water samples from two public swimming pools are combined for one test for the presence of bacteria. Further testing is done only if the combined sample comes back positive. Based on past results, there is only a 0.004 probability of finding bacteria in a public swimming pool area. Find the probability that a combined sample from two public swimming areas will reveal the presence of bacteria. Is the probability low enough so that further testing of the individual samples is rarely necessary?

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.