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Unformatted text preview: Psych 100A Week 5 Discussion Notes Dawn Chen October 30, 2009 Formulas and Procedures Goal Prerequisites Formula or Procedure Diagram of the sampling distribution of x Constructing a (1 ) 100% α- × confidence interval for μ when σ is known The population scores are normally distributed or n is large 2 x z n α σ ± If H is true: : A H μ μ < : A H μ μ Conducting a one-sample z- test for μ ( σ is known) The population scores are normally distributed or n is large 1. Formulate : H μ μ = and : , A H μ μ < : , or : A A H H μ μ μ μ ≠ 2. Calculate obs x z n μ σ- = 3. Reject H if: 2 if : if : if : obs A obs A obs A z z H z z H z z H α α α μ μ μ μ μ μ < - < ≠ (Alternatively, compare the p-value with , α or x with crit x ) : A H μ μ ≠ α μ α μ 2 α 2 α μ 1 α- 2 α 2 α Hypothesis Testing Statistical hypothesis testing always takes the following form: (1) Formulate H and A H (2) Assume H is true (3) If value (observing data as extreme or more as your data | is true) , p P H α- < dhhhhhhhhhhhhDhhhhhhhhhhhh¡ reject ; H otherwise, don’t reject H Instead of (3), we can compare the relevant test statistic (e.g., obs z ) with the critical value of that test statistic determined by , α as in the one-sample z-test for ....
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This note was uploaded on 09/24/2010 for the course STATS 13a taught by Professor Chen during the Spring '10 term at UCLA.
- Spring '10