Inferences on Two Samples Summary

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Presentation transcript:

Inferences on Two Samples Summary Chapter 11 Inferences on Two Samples Summary

Chapter 11 Summary The process of hypothesis testing is very similar across the testing of different parameters The major steps in hypothesis testing are Formulate the appropriate null and alternative hypotheses Calculate the test statistic Determine the appropriate critical value or values Reach the reject / do not reject conclusions

Mean (Std Dev known) (Chapter 10) Chapter 11 Summary Similarities in hypothesis test processes Parameter Mean (Std Dev known) (Chapter 10) Two Means (Independent) (Dependent) Two Proportions H0: μ = μ0 μ1 = μ2 p1 = p2 (2-tailed) H1: μ ≠ μ0 μ1 ≠ μ2 p1 ≠ p2 (L-tailed) H1: μ < μ0 μ1 < μ2 p1 < p2 (R-tailed) H1: μ > μ0 μ1 > μ2 p1 > p2 Test statistic Difference Critical value Normal Student t

Chapter 11 Summary We can test whether sample data from two different samples supports a hypothesis claim about a population mean or proportion For two population means, there are two cases Dependent (or matched-pair) samples Independent samples All of these tests follow very similar processes, differing only in their test statistics and the distributions for their critical values

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