MATH1005 Lecture Notes - Lecture 10: Null Hypothesis, Scientific Method, Test Statistic

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This is a scientific method for weighing up the evidence given in the data, which may oppose the provided model for said data. For example: we say that the data is not consistent if there is a large gap between the observed values and the expected values. This involves three main steps: set up research question, weigh up evidence, explain the conclusion. This assumes that the difference between the observed value and expected value is due to chance alone. (h0) This assumes the difference between the observed value and expected value, being not due to chance alone. (h1) The conclusions is only transparent if the assumptions are stated. But it could be invalid if the assumptions are also not justified. This measures the difference between the data and the expected values from the h0. This is a way of weighing up the sample being consistent with h0.

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