POLSCI 3N06 Lecture Notes - Lecture 7: Test Statistic, Null Hypothesis, Standard Deviation

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Political science 3n06 2014 lecture 7b: one sample hypothesis testing. Calculating z(obtained) when you do not have the population standard deviation ( ) If you do not know the population standard deviation, you can substitute the sample standard deviation (s) into the z formula provided. A) you subtract 1 from n to correct for bias. B) the sample size is large enough (100 or more) If the sample size (n) is less than 100, you cannot calculate z(obtained) With small sample sizes you cannot assume that the sampling distribution will be normal like z. In this case you are required to use a different distribution to calculate areas and probabilities. The higher the df (degrees of freedom) the closer and closer the t distribution resembles the z distribution i. e the larger the sample size the closer the curve is to the z curve. To find the appropriate t(critical) for a given alpha with a given df, use the.

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