In this example, theyĬalculated all of this for us. Sample standard deviation divided by the square root of N. I say estimate because unlike when we were dealing with proportions, with proportions we can actually calculate the assumed, based on the null hypothesis, sampling distribution standard deviation, but The T value is going to be equal to the difference between her sample mean and the assumed population mean from the null hypothesis, that's what this little sub zero means, it means it's the assumed mean from the null hypothesis, divided by our estimate of the standard deviation of the sampling and distribution. From that, we can calculate this T value. From that, since the population parameter we care about is a population mean, she would calculate the sample mean in order to estimate that and the sample standard deviation. She wants to test her null hypothesis so she takes a sample of size six. Zero, or the alternative is that it's not equal to zero. She has a null hypothesis that the mean is equal to
I just always like to remind ourselves what's going on here, so
P-value for Caterina's test? Like always, pause this video and see if you can figure it out. Assume that the conditionsįor inference were met. Caterina was testing her null hypothesis is that the true population mean of someĭata set is equal to zero versus her alternative hypothesis, is that it's not equal to zero and then she takes a sample of six observations and then using that sample her test statistic, I can never say that, test statistic was T is equal to 2.75.