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Lecture16_ch8 - STAT 350 Lecture 16 Chapter 8 Testing...

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STAT 350 Lecture 16 Chapter 8 Testing Statistical Hypotheses 8.1 Hypotheses and Test Procedures
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Hypotheses Testing Confidence Intervals estimate an unknown population parameter. give a range of values where we think the true parameter lies. Hypothesis Tests assess the evidence provided by the data in favor of or against some claim (called a hypothesis) about the population
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8.1 Hypotheses and Test Procedures A statistical hypothesis is a claim or assertion about a population parameter(s) Example Parameter: π =proportion of e-mails from a certain system that are undeliverable Hypothesis: π <0.01 (or 1%)
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Example of Statistical Hypotheses Parameters: μ 1 = true average lifetime for a particular name-brand tire (miles) μ 2 = true average lifetime for a less expansive store-brand tire (miles) Hypothesis: μ 1- μ 2>10,000 (miles)
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Statement of Hypotheses Statistical Hypothesis: On the parameters in a population NOT on the statistics of the sample data Example (ex 1 from 8.1): State whether each of the following assertion is a legitimate statistical hypothesis and why? A) H: σ >100 B) H: C) H: D)H: s 0.50 E) H: σ 1/ σ 2 < 1 45 X 2.0
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What is a test of hypotheses ? A method for using sample data to decide between the two competing hypotheses under consideration Consider: What does the hypothesis say about the parameter? What does the sample suggest about the parameter? Do they agree or disagree? The results of a test measures how well the data and the hypothesis agree .
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Null and Alternative Hypotheses Two hypotheses in a testing of hypotheses: H 0 :the null hypothesis H a : the alternative hypothesis [Definitions] H 0 -- The null hypothesis is the assertion that is initially assumed to be true.
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