ATHK1001 Lecture Notes - Lecture 11: Type I And Type Ii Errors, Null Hypothesis, Null Result

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How we test a specific hypothesis is a question of methodology. But we need a general, systematic approach to deciding if data supports a hypothesis. So what is the logic of hypothesis testing: population statistics greek letters are used, sample statistics - roman letters are used. A sample is a part of a population: samples, populations and hypotheses. Testing of samples so that we can say something about. Sample statistics are estimates of population statistics (sometimes. Hypotheses are always about the way things are in the population populations even written as (cid:498)muhat(cid:499). But we test hypotheses by looking at the way things are in samples, and extrapolating back to the population. Therefore always have to ask how representative of a population is a sample: baby"s thyroids, 1936 us election, can we test drugs just on men, expressing hypotheses. H0: men are as confident as women. Ha: men are more confident than women.

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