Chapter 8 formulas

# Chapter 8 formulas - Formulas Chapter Eight Inferences...

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Formulas Chapter Eight: Inferences Based on a Single Sample; Tests of Hypothesis Randall Miller 1 | Page Key Symbols o µ Population mean o p Population proportion; P (Success) in binomial trial o 2 σ Population variance o 1 qp →− o x Sample mean (estimator of ) o ˆ p Sample proportion (estimator of p ) o 2 s Sample variance (estimate of 2 ) o 0 H Null hypothesis o a H Alternative hypothesis o α Probability of a Type I error o β Probability of a Type II error o 2 χ Chi-square (sampling distribution of 2 s for normal data) Formulas Large-Sample Test of Hypothesis about One-Tailed Test ( ) 00 : : or : aa H HH µµ = <> Test statistic : 0 x x z = Rejection region : zz <− ( ) 0 or when : a H >> Where z is chosen so that ( ) Pz z = Two-Tailed Test 0 : : a H H = Test statistic : 0 x x z = Rejection region : /2 or z z αα > Where z is chosen so that ( ) Pz z >= Note : 0 is the symbol for the numerical value assigned to under the null hypothesis

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Formulas Chapter Eight: Inferences Based on a Single Sample; Tests of Hypothesis Randall Miller 2 | Page Small-Sample Test of Hypothesis About
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Chapter 8 formulas - Formulas Chapter Eight Inferences...

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