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Hypothesis Testing II: The Two-sample Case

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Presentation on theme: "Hypothesis Testing II: The Two-sample Case"— Presentation transcript:

1 Hypothesis Testing II: The Two-sample Case
Hypothesis Testing With Sample Means (Large Samples) Hypothesis Testing With Sample Means (Small Samples) Hypothesis Testing With Sample Proportions (Large Samples)

2 Hypothesis Testing II: The Two-sample Case
The Limitations of Hypotheses Testing: Significance Versus Importance Interesting Statistics: Are There Significant Differences in Income Between Men and Women?  

3 One- and Two- Sample Cases
Differences in sampling: One-sample case assumes the sample was selected following EPSEM model. Two-sample case samples must be selected independently, as well as randomly.

4 One- and Two- Sample Cases
Differences in null hypothesis: One-sample case - the population from which the sample is drawn has a certain characteristic. Two-sample case - the two populations are no different.

5 One- and Two- Sample Cases
Differences in sampling distribution: One-sample case - outcome was either a mean or a proportion. Two-sample case - sample outcome is the difference between the sample statistics.

6 Factors in the Probability of Rejecting the Null Hypothesis
The size of the observed difference(s). The alpha level. The use of one or two-tailed tests. The size of the sample.


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