Hypothesis Testing: Two Population Means and Two Population Proportions: Summary of Types of Hypothesis Tests 1.3 2008/06/17 16:34:50 GMT-5 2008/07/18 14:43:41.227 GMT-5 Barbara Illowsky illowskybarbara@deanza.edu Susan Dean deansusan@deanza.edu Connexions cnx@cnx.org elementary statistics Two Population Means Populations are independent and population standard deviations are unknown. Populations are independent and population standard deviations are known (not likely). Matched or Paired Samples Two Population Proportions Populations are independent. DECISION AND CONCLUSIONThe following hypotheses tests for two independent population means have the same decision and conclusion. H o : μ 1 ≥ μ 2 H a : μ 1 < μ 2 H o : μ 2 ≤ μ 1 H a : μ 2 > μ 1 The following hypotheses tests for two population proportions have the same decision and conclusion. H o : p 1 ≥ p 2 H a : p 1 < p 2 H o : p 2 ≤ p 1 H a : p 2 > p 1