TYPE II or β error is the probability of accepting Ho when Ho is false.

Ho is false if µ β 1 ≠ µ 1 OR µ β 2 ≠ µ 2.

What if µ 1 were some other value, µ β1; what percent of the t tests would result in accepting Ho when Ho was false?

The data in a t test can be solved for x̄ α.

µ β 1 or µ β 2 are the substitutes for µ 1 or µ 2 that make Ho false.

Ho is false if µ β 1 ≠ µ 1 OR µ β 2 ≠ µ 2.

What if µ 1 were some other value, µ β1; what percent of the t tests would result in accepting Ho when Ho was false?

The data in a t test can be solved for x̄ α.

µ β 1 or µ β 2 are the substitutes for µ 1 or µ 2 that make Ho false.

*t test**β,*(x̄ α – (µ β 1 or µ β 2)) / (s /√n) gives us P (Accept Ho when false) = Type II or β error.
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