STAT231 Lecture Notes - Variance, Random Variable, Statistical Hypothesis Testing
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Statistical inference: we have looked at the sampling distribution of estimators and con dence intervals, look at the idea of a hypothesis test and the p-value scale of evidence, first prev next last go back full screen close quit. Meaning of p-value: if p-value is close to zero then we are inclined to doubt that. 0. 001 < p 0. 01 p 0. 001. Testing a binomial probability: suppose that n = 180 tosses gave y = 44, using d, we get dobs = 14 and the signi cance level is p value = p r(d 14; h0) = p r(y 44 or y 16; = 1/6) )180 y: this provides strong evidence against h0 that = 1/6, first prev next last go back full screen close quit. Measurement error: two cheap scales a and b for measuring weight are tested by taking 10 weighings of a 1 kg weight on each of the scales, the measurements on a and b are.