But the first assumption that has to be true and even to make any claims about this confidence interval with confidence is that your sample is random, so that you have a random sample. If you're trying to estimate the proportion of people that are gonna vote for a certain candidate, but you are only surveying people at a senior community, well, that would not be a truly random sample if we were only to survey people on a college campus. So like with all things with statistics, you really wanna make sure that you're dealing with a random sample and take great care to do that. The second thing that we have to assume, and this is sometimes known as the normal condition, normal condition. Remember, the whole basis behind confidence intervals is we assume that the distribution of the sample proportions the sampling distribution of the sample proportions has roughly a normal shape like that. But in order to make that assumption that it's roughly normal, we have this normal condition. And the rule of thumb here is that you would expect per sample more than 10 successes, successes and, successes and failures each, each.