type II error

A tutorial on the type II error in two-tailed test on population mean with unknown variance.

A tutorial on the type II error in upper tail test on population mean with unknown variance.

A tutorial on the type II error in lower tail test on population mean with unknown variance.

A tutorial on the type II error in two-tailed test on population mean with known variance.

A tutorial on the type II error in upper tail test on population mean with known variance.

A tutorial on the type II error in lower tail test on population mean with known variance.

In hypothesis testing, a type II error is due to a failure of rejecting an invalid null hypothesis. The probability of avoiding a type II error is called the power of the hypothesis test, and is denoted by the quantity 1 - β .