I have a sample of observations (n) representing individual evaluations (positive/negative) of pieces of text (n texts). Each individual can evaluate more texts (thus there are m individuals with m < n). I would like to test if the population mean (ratio of positive evaluations) is $>0.5$.

My initial idea is to compute the ratio of positive evaluations per individual ($\bar{x_{i}}$) and then to do a proportion test for the mean $\bar{x_{i}}$, weighted by the number of data points used in computing $\bar{x_{i}}$. I have found a way how to do this in R for a t-test (https://www.rdocumentation.org/packages/weights/versions/0.85/topics/wtd.t.test) but not for z-test or chi-square test which are better suited for proportions. Does anybody have some suggestions? I would especially be interested in an R function that I could use.



Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge that you have read and understand our privacy policy and code of conduct.