STAT 401 Lecture Notes - Lecture 7: Statistical Hypothesis Testing, Alternative Hypothesis, Test Statistic

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Suppose we have a random sample the future value of observation to be selected from a normal population distribution is: x t /2, n 1 1. A statistical hypothesis is a claim or assertion either about the value of a single parameter, about the values of several parameters or about the form of an entire population distribution. In hypothesis testing problems, there are two contradictory hypotheses under consideration: null hypothesis, , alternative hypothesis, . 3 possible types of hypothesis for parameter mean: Be the strength units: h0 : = 0. 2. h0 : = 0. 3. h0 : = 0. Test statistic: function of sample data used as a basis for deciding whether rejected. P-value is probability calculated assuming as the value calculated from available sample data. least as contradictory to . H0 is true of obtaining a value of the test statistic at should be. Errors in hypothesis testing when it is true.

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