4 ms·

There are roughly 6,000 hospitals in the US - they sampled 100 and concluded 17% of those were fully compliant. My question is, is that even CLOSE to enough of

• tfehring 5y ago
  Depends on what you consider "meaningful" I suppose...but yes, as long as the sample's representative. You can do a lot with n=100 - unless the authors cherry-picked it would be incredibly unlikely for them to find 83/100 non-compliant hospitals by chance if there are only, say, a few hundred non-compliant hospitals. $ R -q -e "binom.test(17, 100, p=0.9, conf.level=0.999)" > binom.test(17, 100, p=0.9, conf.level=0.999) Exact binomial test data: 17 and 100 number of successes = 17, number of trials = 100, p-value < 2.2e-16 alternative hypothesis: true probability of success is not equal to 0.9 99.9 percent confidence interval: 0.06925006 0.32125658 sample estimates: probability of success 0.17 Of course, there would be potential for "not fully compliant" to be insignificant for practical purposes (e.g. if it included hospitals that just missed a couple of billing codes), but based on TFA that doesn't seem to be the case.