Unit 10-1

# Unit 10-1 - Errors in Hypothesis Tests Errors When you...

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Errors in Hypothesis Tests Errors in Hypothesis Tests

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When you perform a hypothesis test When you perform a hypothesis test you make a decision: you make a decision: When you make one of these decisions, there is a possibility that you could be wrong! That you made an error! reject H 0 or fail to reject H 0
There are two decisions that we make; reject or fail to reject . Each could possibly be a wrong decision; therefore, there are two types of errors .

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Type I error Type I error When you reject a null hypothesis that is really true Denoted by α α Is the level of significance of the test α μ 0
Fail to reject Reject Type II error Type II error When you fail to reject the null hypothesis when it is false Denoted by β β α α β β Type I – reject a true H 0 Type II – fail to reject a false H 0 The x-bar is really part of the H a curve, but we mistake it as being part of the H 0 curve The x-bar is really part of the H 0 curve, but we mistake it as being part of the Ha curve

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H 0 True H 0 False Reject Fail to reject Type I error Correct Correct Type II error Suppose H 0 is true & we fail to reject it, what type of decision was made? Suppose H
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## This note was uploaded on 12/09/2011 for the course STATS 221 taught by Professor Nielson during the Fall '10 term at BYU.

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Unit 10-1 - Errors in Hypothesis Tests Errors When you...

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