MAT 2379 Lecture Notes - Lecture 9: Confidence Interval, Hygiene, Viscosity

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Hypothesis testing is a statistical method that is used when one wants to gain support (or evidence) towards a desired statement, called the research hypothesis (denoted with h1). The other hypothesis, which the researcher would like to reject is called the null hypothesis and is denoted with h0. When you are using this method, formulate your statistical hypotheses in hopes of being able to reject h0 and hence gain evidence towards h1. We often state the null hypothesis as a simple hypothesis (that is a simple value) and the alternative hypothesis will be stated as a composite hypothesis (i. e. a set of many values). The null hypothesis is often a statement of no effect. Suppose that is the unknown population parameter and that 0 is a real number. For example, could be the population mean. We will consider three types of alternative: suppose that a priori, our research hypothesis is that > 0.

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