![]() ![]() That times the standard deviation of the statistic, of the statistic. ![]() Many standard deviations for the samplingĭistribution do we wanna go above or beyond? So the number of standardĭeviations we wanna go, that is our critical value, and then we multiply Minus around that statistic, plus or minus around that statistic, and then we say okay how So we take our statistic, statistic, and then we go plus or It could be if we're trying toĮstimate the population mean. Let me just write this in general form, even if we're not talkingĪbout a proportion. I keep doing this over and over again, that 90, that roughlyĩ4% of these intervals are going to overlap with our Interval around that one, that 94% that roughly as That's the confidence interval around that one, maybe if we were to do it again, that's the confidence And remember a confidence interval, at a 94% confidence level means that if we were to keep doing this, and if we were to keepĬreating intervals around these statistics, so maybe But then we also wannaĬonstruct a confidence interval. This case it's a sample, a random sample of 200 computers, we take a random sample, and then we estimate this by calculating the sample proportion. We don't know what that is,īut we try to estimate it. Proportion of computers that have a defect. Remember, the whole pointīehind confidence intervals are we have some true population parameter, in this case it is the ![]() Little reminder of what a critical value is. You to pause this video, let me just give you a Star should Elena use to construct this confidence interval? So before I even ask A random sample of 200Ĭomputers shows that 12 computers have the defect. That Elena wants to build a one-sample z interval toĮstimate what proportion of computers produced at aįactory have a certain defect. ![]()
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