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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 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, zcrit (“ z crit”), or z * (hence the other name “critical region”).
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.
In the context of the marketing team's hypothesis testing, the reject region for the one-tailed test with an alpha level of 1% corresponds to the range of z-scores that fall within the top 1% of the normal distribution.
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”).
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”).
Definition. The rejection region is a crucial concept in hypothesis testing, representing the set of all values for which the null hypothesis is rejected. This region is determined by the significance level, often denoted as alpha (α), which defines the probability of making a Type I error.
