Hypothesis Testing II: The Two-sample Case

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Presentation transcript:

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)

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?

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.

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.

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.

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.