Chapter 22 - Chapter 22 (Student) What Is A Test of...

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Chapter 22 (Student) 1 What Is A Test of Significance? • Inferential Technique: Hypothesis Testing (Test of Significance) • We want to test a hypothesis (statement) about the value of a parameter based on sample data. • Statistical Hypotheses are statements about population parameters. • Example: The proportion of all USC students from South Carolina is greater than 0.71. Hypothesis Testing • In statistics, we test one hypothesis against another. • Null Hypothesis , H 0 : The claim being tested in a statistical test. Usually a statement of “no effect” or “no difference.” – The null hypothesis is assumed true during the test. • Alternative Hypothesis , H a : The claim we hope or suspect is true. The claim we want to prove. Hypothesis Testing • We conduct a hypothesis test under the assumption that H 0 is true and the claim we believe, H a , is not true. • The test is designed to assess the strength of the evidence against H 0 . •H 0 and H a are statements about the population and are stated in terms of a population parameter.
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Chapter 22 (Student) 2 Hypothesis Testing • The null hypothesis is usually stated so as to specify an exact value of the parameter (“no effect” or “no difference”). H 0 : p = c • The alternative hypothesis allows for the possibility of several values. – One-sided alternative H a : p < c or H a : p > c – Two-sided alternative H a : p c (where c is some real value) Example • We believe that the true proportion of all USC students from South Carolina is greater than 0.71.
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Chapter 22 - Chapter 22 (Student) What Is A Test of...

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