It is the test statistic.
A test statistic is a value calculated from a set of observations. A critical value depends on a null hypothesis about the distribution of the variable and the degree of certainty required from the test. Given a null hypothesis it may be possible to calculate the distribution of the test statistic. Then, given an alternative hypothesis, it is may be possible to calculate the probability of the test statistic taking the observed (or more extreme) value under the null hypothesis and the alternative. Finally, you need the degree of certainty required from the test and this will determine the value such that if the test statistic is more extreme than the critical value, it is unlikely that the observations are consistent with the hypothesis so it must be rejected in favour of the alternative hypothesis. It may not always be possible to calculate the distribution function for the variable.
1.64
-2.58,2.58
When you formulate and test a statistical hypothesis, you compute a test statistic (a numerical value using a formula depending on the test). If the test statistic falls in the critical region, it leads us to reject our hypothesis. If it does not fall in the critical region, we do not reject our hypothesis. The critical region is a numerical interval.
The critical value is used to test a null hypothesis against an alternative hypothesis at some pre-defined level of significance. A test statistic is calculated from the outcomes of a set of trials and if this test statistic is more extreme than the critical value then the null hypothesis must be rejected in favour of the alternative.
Normally you would find the critical value when given the p value and the test statistic.
It is the test statistic.
A test statistic is a value calculated from a set of observations. A critical value depends on a null hypothesis about the distribution of the variable and the degree of certainty required from the test. Given a null hypothesis it may be possible to calculate the distribution of the test statistic. Then, given an alternative hypothesis, it is may be possible to calculate the probability of the test statistic taking the observed (or more extreme) value under the null hypothesis and the alternative. Finally, you need the degree of certainty required from the test and this will determine the value such that if the test statistic is more extreme than the critical value, it is unlikely that the observations are consistent with the hypothesis so it must be rejected in favour of the alternative hypothesis. It may not always be possible to calculate the distribution function for the variable.
1.64
-2.58,2.58
When you formulate and test a statistical hypothesis, you compute a test statistic (a numerical value using a formula depending on the test). If the test statistic falls in the critical region, it leads us to reject our hypothesis. If it does not fall in the critical region, we do not reject our hypothesis. The critical region is a numerical interval.
Critical values of a chi-square test depend on the degrees of freedom.
The size of the sample should not affect the critical value.
Every possible experimental outcome results in a value of the test statistic. The non-critical region is the collection of test statistic values that are associated with acceptance of the null hypothesis.
In statistical significance testing, the p-value is the probability of obtaining a test statistic result at least as extreme or as close to the one that was actually observed. This is assuming that the null hypothesis is true.
For an inferential statistic such as a one-sided t, an F or a chi-square test, a critical value is the number above which a fraction of the values of the inference statistics equal to the alpha level would fall on repeated trials if the null hypothesis were true. For example, suppose the research has chosen an alpha level of 0.05. She has a sample size of 11 and will be using a one-sided t-statistic because she is interested in deciding whether the mean of the population from which she has drawn her sample exceeds a certain given value. The critical value for a t-test in this situation is about 1.8 because about 0.05 of the time anyone could take a sample of size 11 from a population with a known mean and find that the t-statistic calculated for the sample exceeds 1.8.