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A research stud].-r found that 33.3% of pool water samples taken from public swimming pools in Bologna, Ital}.r contained mycohacteria. Although it is rare for
A research stud].-r found that 33.3% of pool water samples taken from public swimming pools in Bologna, Ital}.r contained mycohacteria. Although it is rare for these mycobacteria to cause diseases in humans, those with weakened immune systems ma].-r be at risk. Suppose that Jerry:r is an environmental scientist who wants to determine if the proportion of public swimming pools in Arizona that contain mycobacteria is higher than the proportion of pools in Bologna. Jerry selects St] public pools in Arizona at random and analyzes water samples from each pool. He then uses a onesample ztest for a proportion to assess whether his hypothesis is correct. Because Jerry's conclusion is based on a sample of the population, there is a possibilityr that his conclusion will be incorrect. In the following table, the column headings list the two possible realities and the row headings list the two possible outcomes of the z-test. Each cell of the table represents a specic relationship between realitjl.r and the conclusion of the test. Place a label in each cell describing whether the scenario represents the correct conclusion or a specic type of error. The proportion of pools containing The proportion of pools containing mycobacteria is higher in Arizona mycobacteria is the same in Arizona than Bologna. and Bologna. The decilln is that the proportion of pools containing narcohaeteria is the same in Arizona as Bologna. The {loci-In '5 that the proportion of pools containing narcohacteria is higher in Arizona than Bologna
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