Question

Alpha error, also known as Type I error, in a statistical test occurs when:

a) A correct null hypothesis is accepted as true.
b) A correct null hypothesis is rejected.
c) A correct alternative hypothesis is accepted as true.

Answer 1

A Type I error, or Alpha error, occurs when a true null hypothesis is incorrectly rejected as false, denoted by the Greek letter alpha (α).

Step-by-step explanation:

An Alpha error, also known as a Type I error, in statistical hypothesis testing occurs when a correct null hypothesis is incorrectly rejected. This represents a false positive, where the significance test indicates that an effect or relationship exists when, in reality, it does not. The probability of committing a Type I error is denoted by the Greek letter alpha (α), which is also the level of significance of the test. Mathematically, α equals the probability of a Type I error, which is the probability of rejecting the null hypothesis when the null hypothesis is actually true.