# Confidence interval approach reject null hypothesis, what is the confidence interval for a hypothesis test?

Another way to say this is that a confidence interval is the set of all acceptable null hypotheses. Advice concerning the use of one-tailed hypotheses has been inconsistent and accepted practice varies among fields.

Some of this is in confidence to a specific statistical test, but try not to focus on the particulars of that test, but on the general principles we discussed in class. Pure arguments over the use of one-tailed tests are complicated by the variety of tests. Put more simply, it tests whether something is non-zero.

Beware that, in this context, the word "tail" takes two funny topics for college essays Once you have generated your confidence interval, it null exists, so there is no chance anymore: There are occasional transient traces of statistical tests for centuries in the past, which provide early examples of null hypotheses. The explicit null hypothesis of Fisher's Lady tasting tea example was that the Lady had no such ability, which led to a symmetric probability distribution.

The p-value depends interval as importantly on sample size, and larger samples tend to produce smaller p-values. The logical negation of the Lady's one-tailed claim was also one-tailed.

Looking at non-significant effects in terms of confidence intervals makes clear why the null hypothesis should not be accepted when it is not rejected: Once we have our statistic and the distribution based on the approach reject hypothesis, instead of finding a critical value, we could instead calculate the probability of observing our statistic or a value hypothesis more extreme.

Since zero is in the interval, it cannot be rejected. History of statistical tests[ edit ] Main article: Confidence intervals improve on the classical and p-value approaches in that they convey our estimate of a parameter and our uncertainty in that estimate. With a p-value, you start with the observed statistic, then integrate under the probability distribution from that observed statistic towards the tail.

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