Statistics for Managers Using Microsoft Excel Chapter 8 Fundamentals of Hypothesis Testing:One-Sample Tests Statistics for Managers Using Microsoft Excel Chap 8-1
Statistics for Managers Using Microsoft Excel Chap 8-1 Chapter 8 Fundamentals of Hypothesis Testing: One-Sample Tests Statistics for Managers Using Microsoft Excel
Learning Goals After completing this chapter,you should be able to: Formulate null(Ho)and alternative hypotheses (H1)for applications involving one sample population mean or proportion Formulate a decision rule for testing a hypothesis Know how to use the critical value and p-value approaches to test the null hypothesis(for both mean and proportion problems) Know what Type I and Type ll errors are Statistics for Ma agers Using Microsoft Excel Chap 8-2
Statistics for Managers Using Microsoft Excel Chap 8-2 Learning Goals After completing this chapter, you should be able to: Formulate null (H0) and alternative hypotheses (H1) for applications involving one sample population mean or proportion Formulate a decision rule for testing a hypothesis Know how to use the critical value and p-value approaches to test the null hypothesis (for both mean and proportion problems) Know what Type I and Type II errors are
What is a Hypothesis? A hypothesis is a claim (assumption)about a population parameter: population mean Example:The mean monthly cell phone bill of this city isμ=$42 population proportion Example:The proportion of adults in this city with cell phones is p=.68 Statistics for Ma Using Microsoft Excel Chap8-3
Statistics for Managers Using Microsoft Excel Chap 8-3 What is a Hypothesis? A hypothesis is a claim (assumption) about a population parameter: population mean population proportion Example: The mean monthly cell phone bill of this city is μ = $42 Example: The proportion of adults in this city with cell phones is p = .68
What is Hypothesis testing? A step-by-step methodology that enables one to make inferences about a population parameter by analyzing differences between the results observed (the sample statistic)and the results one is expected to obtain if some underlying hypothesis is actually true. For example,is the mean weight of the cereal boxes produced at a company consistent with what would be expected if the mean of the entire population of cereal boxes is 368 grams?Or,can you infer that the population mean is not equal to 368 grams because the sample mean is significantly different from 368 grams Statistics Using Microsoft Excel Chap 8-4
Statistics for Managers Using Microsoft Excel Chap 8-4 What is Hypothesis testing? A step-by-step methodology that enables one to make inferences about a population parameter by analyzing differences between the results observed (the sample statistic) and the results one is expected to obtain if some underlying hypothesis is actually true. For example, is the mean weight of the cereal boxes produced at a company consistent with what would be expected if the mean of the entire population of cereal boxes is 368 grams? Or, can you infer that the population mean is not equal to 368 grams because the sample mean is significantly different from 368 grams
The Null Hypothesis,Ho States the assumption(numerical)to be tested (the first step of HT) Example:The average number of TV sets in U.S. Homes is equal to three（H,:μ=3) Is always about a population parameter, not about a sample statistic H:μ=3 H岁 3 Statistics for Mar agers Using Microsoft Excel Chap8-5
Statistics for Managers Using Microsoft Excel Chap 8-5 The Null Hypothesis, H0 H0 :μ 3 H0 :μ 3 H0 : X 3 States the assumption (numerical) to be tested (the first step of HT) Example: The average number of TV sets in U.S. Homes is equal to three ( ) Is always about a population parameter, not about a sample statistic