And all the packages WERE NOT delivered. 9 out of 89 packages "atheist" packages never arrived, versus 1 out of 89 "non-atheist" packages.
This formulation is such dreadful English. Please think about what you are trying to say.
Taking soft sciences into consideration (psychology, social sciences, medical), most papers hinge on a 95% confidence level. This means that 1 out of every 20 results arise from chance, and no one bothers to check.
Recent reports tell us depression meds are no better than chance and scientists can only replicate 11% of cancer studies, so perhaps the ratio is higher than 1 in 20.
1 in 20 would be expected if errors are random and if no biases are in place like publication bias. We know that's not typically the case, so we can indeed expect it's worse than 1 in 20. The more I read about anti-depressant trials, the more I think we will come to view them as particularly egregious examples of deliberately badly designed trials. I've just read Bad Pharma by Ben Goldacre and it's mind-boggling what happens in real world trials. One little example: to take advantage of the 1 in 20 chances, simple hold 20 little trials and publish the one that gets good results! Or ignore your stated trial goals and measure and just cherrypick any good result afterwards. If you have many variables you're bound to get some correlations post hoc, just by chance alone.
But what's the alternative? Just wait until someone's sick enough to warrant a cancer screening?
It's important to realise what screening is and is not. Testing someone who is sick is not screening. Screening is testing the whole population (or most of it) even though they have no signs at all of the disease. The usefulness of screeing depends dramatically on the accuracy of the test used as well as the actual incidence of the disease in the target population. Testing someone who has signs and symptoms of the disease is symptomatic testing which is very different, not least in the statistics involved, as well as the particular test used. For instance, (asymptomatic) bowel cancer screening would use a fecal occult blood test to check for invisible blood in the stool. This is cheap, non-invasive, self-administered and moderately accurate. If on the other hand, you had symptoms like overt blood in the stool for a long time plus unexplained weight loss (say) then you would likely be sent straight for a colonoscopy which is expensive, invasive and pretty accurate.
Kill Ugly Processor Architectures - Karl Lehenbauer