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What is the rejection region for a two tailed test?
Rejection Regions and Alpha Levels That 5% level is the rejection region. For a one tailed test, the 5% would be in one tail. For a two tailed test, the rejection region would be in two tails.
What is the rejection region for this test?
A critical region, also known as the rejection region, is a set of values for the test statistic for which the null hypothesis is rejected. i.e. if the observed test statistic is in the critical region then we reject the null hypothesis and accept the alternative hypothesis.
What is the value that separates a rejection region?
critical value
A critical value separates the rejection region from the non-rejection region. The significance level (denoted by ) is the probability that the test statistic will fall in the critical region when the null hypothesis is actually true.
What does a 5% level of significance mean?
The researcher determines the significance level before conducting the experiment. The significance level is the probability of rejecting the null hypothesis when it is true. For example, a significance level of 0.05 indicates a 5% risk of concluding that a difference exists when there is no actual difference.
Is the rejection region on the right side of the curve?
The shaded region or the critical region is equal to the significance level (α). The next figure again shows the rejection region for the one-tailed test and how the critical value appears on it: Here the curve shows that it is a right-tailed test, so the rejection region appears on the right side of the curve.
Is the rejection region equal to the critical value?
The critical value so obtained also appears on the left side. (Since it is on the left side, this critical value is negative.) The shaded region or the critical region is equal to the significance level (α). The next figure again shows the rejection region for the one-tailed test and how the critical value appears on it:
Where is the rejection region on a one tailed test?
If the test is two-tailed, the rejection area lies under both the tails. A further level of significance decides the size of the critical region. The greater the level of significance, the larger the area of rejection will be. The figure below shows the rejection region for the one-tailed test and how the critical value appears on it:
What does the rejection region depend on in hypothesis testing?
If it falls outside, in the shaded region, then we reject the null hypothesis. That is why the shaded part is called: rejection region, as you can see below. What Does the Rejection Region Depend on? The area that is cut-off actually depends on the significance level. Say the level of significance, α, is 0.05.