36. Lin, Sutton, and Qurashi (1979) compared microbiological and hydroxylamine methods for the analysis of ampicillin dosages. In one series of experiments, pairs of tablets were analyzed by the two methods. The data in the following table give the percentages of claimed amount of ampicillin found by the two methods in several pairs of tablets. What are X - Y and If the pairing had been erro- neously ignored and it had been assumed that the two samples were independent, what would have been the estimate of the standard deviation of X-Y? Ana lyze the data to determine if there is a systematic difference between the two methods Х--Y Microbiological Method Hydroxylamine Method 97.2 105.8 99.5 100.0 93.8 79.2 72.0 72.0 69.5 20.5 95.2 90.8 96.2 96.2 91.0 97.2 97.8 96.2 101.8 88.0 74.0 75.0 67.5 65.8 21.2 94.8 95.8 98.0 99.0 100.2

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.