DS212_Chap9_Hypothesis_Testing_for_Single_Population

# DS212_Chap9_Hypothesis_Testing_for_Single_Population -...

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Chapter 9: Statistical Inference:  Hypothesis Testing for Single  Populations Sada Soorapanth Spring 2010

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Types of Hypotheses Research Hypothesis a statement of what the researcher believes will be the outcome of an experiment or a study Statistical Hypotheses a formal structure used to scientifically test the research hypothesis Substantive Hypotheses a statistically significant difference does not imply a material, or substantive difference
Statistical Hypotheses Hypothesis testing can be used to determine whether a statement about the value of a population parameter should or should not be rejected. Two Parts a null hypothesis an alternative hypothesis Null hypothesis , H 0 , is a tentative assumption about a population parameter. Alternative hypothesis , H a , is the opposite of what is stated in the null hypothesis. The alternative hypothesis is what the test is attempting to establish.

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Null and Alternative Hypotheses The Null and Alternative Hypotheses are mutually exclusive (i.e. only one of them can be true). The Null and Alternative Hypotheses are collectively exhaustive (i.e. they are stated to include all possibilities). The Null Hypothesis is assumed to be true. The burden of proof falls on the Alternative Hypothesis.
Null and Alternative Hypotheses:   Example A manufacturer is filling 40 oz. packages with flour. The company wants the package contents to average 40 ounces. oz H oz H a 40 : 40 : 0 = μ

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Null and Alternative Hypotheses:   Example Because of an increase marketing effort, company officials believe the company’s market share is now greater than 18%, and the officials would like to prove it. 18 . 0 : 18 . 0 : 0 p H p H a
Summary of Forms for Null and  Alternative Hypotheses Hypothesis tests about a population parameter can be either two-tailed or one-tailed tests. Two-tailed test: One-tailed test: 40 : 40 : 0 = μ a H H 40 : ) 40 or ( 40 : 0 = a H H 40 : ) 40 or ( 40 : 0 < = a H H Note: The equality part of the hypotheses always appears in the null hypothesis.

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Decision Rules Objective: Determine whether the null hypothesis should be rejected or not. Two approaches:
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DS212_Chap9_Hypothesis_Testing_for_Single_Population -...

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