Sullivan – Fundamentals of Statistics – 2 nd Edition – Chapter 10 Summary – Slide 1 of 4 Chapter 10 Hypothesis Tests Regarding a Parameter Summary

Sullivan – Fundamentals of Statistics – 2 nd Edition – Chapter 10 Summary – Slide 2 of 4 Chapter 10 Summary ●The process of hypothesis testing is very similar across the testing of different parameters ●The major steps in hypothesis testing are  Formulate the appropriate null and alternative hypotheses  Calculate the test statistic  Determine the appropriate critical value or values  Reach the reject / do not reject conclusions

Sullivan – Fundamentals of Statistics – 2 nd Edition – Chapter 10 Summary – Slide 3 of 4 Chapter 10 Summary ●Similarities in hypothesis test processes ParameterMean (Std Dev known) Mean (Std Dev unknown) Proportion H0:H0:μ = μ 0 p = p 0 (2-tailed) H 1 :μ ≠ μ0μ ≠ μ0 μ ≠ μ 0 p ≠ p 0 (L-tailed) H 1 :μ < μ 0 p < p 0 (R-tailed) H 1 :μ > μ 0 p > p 0 Test statisticDifference Critical valueNormalStudent tNormal

Sullivan – Fundamentals of Statistics – 2 nd Edition – Chapter 10 Summary – Slide 4 of 4 Chapter 10 Summary ●We can test whether sample data supports a hypothesis claim about a population mean or a proportion ●We can use any one of three methods  The classical method  The P-Value method  The Confidence Interval method ●The commonality between the three methods is that they calculate a criterion for rejecting or not rejecting the test statistic