Lecture 32 - 211 Fall 2009

1 2 terms errors conclusions summary to reject or fail

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Unformatted text preview: lineate Rejection and Non-Rejection Regions. 1 2. Terms, Errors, Conclusions. Summary – to Reject or Fail to Reject. • • • • How do we decide whether to Reject H0? Estimate μx using the sample mean. Sample mean is a random variable. There will be Sampling Error ⇒ Sampling will be Sampling Error Distribution. • The sample data must convince you H0 is wrong – a sizeable difference should occur to reject H0. Your test statistic must fall into the critical region(s). 2. Terms, Errors, Conclusions. Choosing the Critical Values • Choosing critical values is choosing the probability of making a Type I Error. • P(Type I Error) = • What Type I Error chance can you live with? • Typical levels: • Reject if Sampling Distribution when H0 is true: • Choose Critical Values – if sample mean is outside either value, then Reject H0: μx = μ0 2 Critical Critical Values for a One-Tail Test: One• Draw the Standardized Distribution. Standardized • Delineate the Rejection/Non-Rejection Regions...
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