In light of the recent edit, there are many cases of product liability where the company knew of a defect but did not fix the problem. Some of these no doubt involve misrepresentation of the product's safety, when the product has been subject to some safety test. In that group, we should exclude "scientifically wrong test" because e.g. tendency to explode is not calculated by testing pH.
"Bad statistics" could include numerous things, such as bad machines or bad procedures (the machine doesn't measure what it is claimed to measure; numerous flaws of the numerical analysis of the data). Again focusing on the contribution of statistical analysis, a person may have actual knowledge of sample bias but disregards that knowledge and took no steps to mitigate the bias. As I imagine you know, the world is rife with biased samples, many of them of the form "Oh, I didn't think of that". The manager making the decision about the sample may have a weak understanding of statistics, so may not have actual knowledge that the sample is invalid. If the analysis is outsourced to a statistician, the statistician may be unaware of the sampling problem. The court will ask whether the company took reasonable steps to test the product's safety, and whether an ordinary prudent person would know that cell phone interviewing biases the sample of the nation's population. A professional statistician may know that but Joe Manager probably does not.
I very much doubt that a failure to report confidence intervals would contribute to a civil action. Ordinary people never encounter a confidence interval, and consumers do not directly rely on confidence intervals to make decisions. However, there is an indirect avenue for confidence intervals in consumer decisions, via "unproven claims". If you claim that a product does X, in some cases you may have to prove that claim in advance (drugs for example). I suspect the best avenue for finding "knowingly bad statistics" in court will be snake oil claims. But snake oil claims are most likely disposed of administratively, without there being a lawsuit.