Calculating P-value comparing two percentages of accuracy?

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To calculate the p-value when comparing the accuracy of two methods, it's essential to clarify whether both methods were applied to the same samples or different sets. If the methods are applied to the same samples, consider using a paired test; if they are applied to different samples, an unpaired test is appropriate. The chi-squared test may be relevant for categorical data, but the t-test for equality of means could also be applicable depending on the data type. Understanding the distinction between paired and unpaired observations is crucial for selecting the correct statistical method. Accurate statistical analysis is vital for valid conclusions in clinical research.
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I have been out of unversity statistics and biometry for a few years do date. I am working in a clical research facility and we are comparing two methods of microbial identification and am now working on the results / charts / statistics. Forgive me for my ignorance, but I am forgetting which method would I use to calculate the p-value for comparing percentages; i.e. out of 100 samples method 1 was 90% accurate and method 2 was 60% accurate (random values). I was going through my old notes and tried to apply chi-squared, etc. It seems I didn't retain much.

Thanks in advance.
 
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You haven't described a specific situation. For example, were both methods applied to each of 100 samples? Or was one method applied to 100 samples and the other method applied to 100 different samples?

Perhaps your old notes deal with "paired" and "un-paired" observations. Is the accuracy of an application of a method to a single sample a result like 0.93? For un-paired observations, look up the "t-test for equality of means".
 
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