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Introduction to Hypothesis Testing

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**1. **Introduction to Hypothesis Testing

**2. **Definition
Hypothesis
in statistics, is a claim or statement about a property of a population

**3. **Rare Event Rule for Inferential Statistics If under a given assumption, the probability of an observed event is exceptionally small, we conclude that the given assumption is probably not correct.

**4. **Components of a Formal Hypothesis Test

**5. **Null Hypothesis: H0 Statement about value of population parameter
Must contain condition of equality
=, ?, or ?
Test the Null Hypothesis directly
Reject H0 or fail to reject H0

**6. **Alternative Hypothesis: H1 Must be true if H0 is false
One of three forms: ?, <, >

**7. **Note about Forming Your Own Claims (Hypotheses) If you are conducting a study and want to use a hypothesis test to support your claim, the claim must be worded so that it becomes the alternative hypothesis.

**8. **Test Statistic a value computed from the sample data that is used in making the decision about the rejection of the null hypothesis For large samples, testing claims about population means the test statistics is: