stat400lec32 - Statistics 400 Tests of Statistical...

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Statistics 400 Tests of Statistical Hypotheses Simple hypothesis Composite Hypothesis Types of Error Type I Error: If we reject Ho when Ho is true Type II Error: If we do not reject Ho when Ho is false Ho True Ha True Reject Ho Type I error Correct Decision Do not reject Ho Correct Decision Type II error α = P(Type I error) β = P(Type II error) Ping Ma Lecture 32 Fall 2005 - 1 -

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You are inspecting light bulbs to determine whether they are defective or not. Ho: The bulbs are not defective Ha: The bulbs are defective Reject Ho if bulbs are defective Do not reject Ho if bulbs are not defective Draw a table like above to characterize the Type I and Type II errors associated with this example. Ho: Bulbs are not defective Ha: Bulbs are defective Reject Bulbs Do not reject Bulbs The significance level α is the probability of a Type I error. It is the probability that the test will reject the null hypothesis when Ho is true. Ping Ma
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This note was uploaded on 07/24/2008 for the course STAT 400 taught by Professor Tba during the Fall '05 term at University of Illinois at Urbana–Champaign.

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stat400lec32 - Statistics 400 Tests of Statistical...

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