Hypothesis Testing

# Hypothesis Testing - Sections 4.2 and 4.3 Page 1 Hypothesis...

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Unformatted text preview: Sections 4.2 and 4.3 Page 1 Hypothesis Testing Basic Idea h Interested in testing a claim. h State hypothesis h Use sample evidence and probability to test claims regarding a characteristics of one or more populations Steps in Hypothesis Testing 0. Check Assumptions 1. State Hypotheses and Set α 2. Compute the Test Statistic 3. Find the critical region or calculate p-value 4. Draw Conclusion Step 0 Checking Assumptions h Data must be from a SRS o Determine from the description of how the sample was obtained. h The population from which we sampled must be normally distributed or the sample size is sufficiently large (n ≥ 30) o Check using a QQ plot! Step 1 Stating the Hypotheses h H 0 the null hypotheses —what is thought to be true, historically true. This is assumed to be true until evidence is found against it. h H a the alternative hypothesis —what the research believes to be true now h 3 ways to set up the hypotheses o Equal vs Not Equal—Two tailed test s H : μ ( parameter) = μ ( value) s H a : μ ( parameter) ≠ μ ( value) o Equal vs Greater Than—One tailed test s H : μ ( parameter) = μ ( value) s H a : μ ( parameter) > μ ( value) o Equal vs Less Than—One tailed test s H : μ ( parameter) = value s H a : μ ( parameter) < value Sections 4.2 and 4.3 Page 2 Example....
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Hypothesis Testing - Sections 4.2 and 4.3 Page 1 Hypothesis...

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