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15 kwi 2024 · When we calculate Z, we will get a value. If this value falls into the middle part, then we cannot reject the null. 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 rejection region represents the set of values of the test statistic that lead to rejecting the null hypothesis. A test statistic is calculated from sample data and is used to compare the observed and expected data under the null hypothesis.
The red shaded region is the upper 5% of the standard normal distribution which starts at the critical value of z=1.644854. This is sometimes called the ‘rejection region’. The blue vertical line is drawn at our observed value of z=1.67.
The rejection region (also called the critical region) is the range of values of a sample statistic that will lead to rejection of the null hypothesis. From: Statistical Methods (Third Edition) , 2010
7 sty 2024 · The rejection region is bounded by a specific \(z\)-value, as is any area under the curve. In hypothesis testing, the value corresponding to a specific rejection region is called the critical value, \(z_{crit}\) (“\(z\)-crit”) or \(z*\) (hence the other name “critical region”).
The rejection region is bounded by a specific z-value, as is any area under the curve. In hypothesis testing, the value corresponding to a specific rejection region is called the critical value, z crit (“z-crit”) or z* (hence the other name “critical region”).
If you want to test hypotheses using the two-tailed test with the alpha level equal to 0.5%, how can you determine the z-scores region to reject the null hypothesis? The two-tailed test requires you to divide the levels of alpha by 2.
