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Describe each of the errors in hypothesis testing below: (a) under what circumstances does a Type...

Describe each of the errors in hypothesis testing below:

(a) under what circumstances does a Type I error occur?

(b) under what circumstances does a Type II error occur?

Math   Statistics-And-Probability   
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Answer #1

(a) under what circumstances does a Type I error occur?

Type I error is the error of  rejecting the null hypothesis when it is actually true. Type I error is known as "error of the first kind".

(b) under what circumstances does a Type II error occur?

Type II error is the error of not rejecting a null hypothesis when the alternative hypothesis is true. Type II error is known as "error of the second kind". The probability of not committing a Type II error is called the power of a hypothesis test.

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