MAT 221 Lecture Notes - Lecture 12: Confidence Interval, Null Hypothesis, Statistical Hypothesis Testing
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MAT 221 Full Course Notes
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A one-sided (or one-tail) test of a population mean has these alternative hypotheses: ha : < (a specific number) or ha : > (a specific number) A two-sided (or two-tail) test of the population mean has this alternative hypotheses: ha : 6= (a specific number) How to choose: what determines the choice of a one-sided versus a two-sided test is what we know about the problem before we perform the test or what we are asked to test. April 13th, 2016 (6. 2 continued) no new notes taken, continued examples from previous class. The conclusion of a significance test depends on the chosen significance level as well as the p-value. The smaller the p-value, the stronger the evidence against the null hypothesis provided by the data. Having enough evidence to reject h0 doesn"t mean that we know for sure that h0 is false. Not having enough evidence to reject h0 doesn"t mean that we know for sure that h0 is true.
