However, if your p-value is say 0.02, there’s only a very small chance you would have obtained that data if the null hypothesis was in fact true.And since the p-value is a probability just like alpha, p-values also range from 0 to 1.

Both a 5% and a 95% CI will converge to the population mean as n increases.If alpha equals 0.05, then your confidence level is 0.95. partnersuche dating Wiesbaden If you increase alpha, you both increase the probability of incorrectly rejecting the null hypothesis and also decrease your confidence level.The confidence interval is the range of likely values for a population parameter, such as the population mean.For example, if you compute a 95% confidence interval for the average price of a Cairn terrier, then you can be 95% confident that the interval contains the Cairn terriers. These three facts should help you interpret the results of your hypothesis test.

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If that makes your head spin like Dorothy’s house in a Kansas tornado, just pretend Glenda has waved her magic wand and zapped it from your memory. The p-value is basically the probability of obtaining your sample data IF the null hypothesis (e.g., the average cost of Cairn terriers = $400) were true.So if you obtain a p-value of 0.85, then you have little reason to doubt the null hypothesis.Your last question provides a great demonstration of the principle - if you take 100 samples and calculate the CI for each sample, then 95 of those 100 CIs will contain the true population mean, while 5 will not.I pondered providing this explanation in my post as well, but thought it was easier to demonstrate in person than trying to explain in it words. Thanks for reading, Michelle Name: Saeed Akhtar • Tuesday, November 20, 2012 Hi Dave, Actually, in statistics, there is no such term as''true average''.You collect your sample data, put it in Minitab Statistical Software, and then arrive at your p-value.

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Statistically speaking, the p-value is the probability of obtaining a result as extreme as, or more extreme than, the result actually obtained when the null hypothesis is true.Looking at the Minitab output above, the 95% confidence interval of 365.58 - 396.75 does not include 0.Thus, we know that the p-value will be less than 0.05.If the p-value is less than alpha—the risk you’re willing to take of making a wrong decision—then you reject the null hypothesis.For example, if the p-value was 0.02 (as in the Minitab output below) and we're using an alpha of 0.05, we’d reject the null hypothesis and conclude that the average price of Cairn terrier is NOT 0. Alternatively, if the p-value is greater than alpha, then we fail to reject the null hypothesis.