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# hypothesis testing (2).docx

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School
Department
Statistics
Course
STATS 2B03
Professor
Aaron Childs
Semester
Fall

Description
October 10 , 2012 Stats 2B03: Statistical Methods for Science Hypothesis Testing (2) Conclusions of a hypothesis test - reject H0  conclude that H isAprobably true  can never conclude H is Aefinitely true - do not reject H 0  doesn’t mean you accept H (or 0hat it is probably true)  conclude that there is not sufficient evidence to reject H , 0r that there is not enough strong evidence in favour of H A - Analogy: H n0 guilty (not strong enough evidence for guilt), H : guiAty Possible Errors Conclusion based The truth H i0 true H is tAue on a sample Reject H 0 Type I error Correct decision Don’t reject H 0 Correct decision Type II error - example: suppose 15 students are sampled and find that x avg=78.6 and reject H0μ≤72 but the test average ends up being 63. What error is that? (or is it a correct decision?)  error type I - the significance level (α) of a hypothesis test is
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