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# hypothesis testing (3).docx

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

Description
th October 12 , 2012 Stats 2B03: Statistical Methods for Science Hypothesis Testing (3) - Example: √ a) using α=.05 ⁄  reject H 0t the 5% significance level since 2.04>1.96 b) using α=.01 ⁄  do not reject H 0t the 1% level since 2.04<2.575 - note: values that form the dividing line between rejecting and not rejecting H 0re called critical values - e.g. in (a) 1.96 is the 5% critical value - the above procedure is called the critical value method - p. value method for testing about a population mean μ for n≥30  step 1: same  step 2:  Case I: p. value = area under the Z curve to the right of Z  Case II: p. value = area under the Z curve to the left of Z  Case III: p. value = 2x the area to the right of |Z| 
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