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s_m10_handouts - Rev F08 STA 2023 Module 10 Hypothesis...

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Rev. F08 1 STA 2023 Module 10 Hypothesis Tests for One Population Mean Rev.F08 2 Learning Objectives Upon completing this module, you should be able to: 1. Define the terms associated with hypothesis testing. 2. Choose the null and alternative hypotheses for a hypothesis test. 3. Explain the logic behind hypothesis testing. 4. Identify the test statistic, rejection region, non-rejection region, and critical value(s) for a hypothesis test. 5. Define and apply the concepts of Type I and Type II errors. 6. State and interpret the possible conclusions for a hypothesis test. ht p:/ faculty. valenciacc . edu/ashaw/ Click link to download other modules. Rev.F08 3 Learning Objectives (cont.) 7. Obtain the critical value(s) for a specified significance level. 8. Perform a hypothesis test for a population mean when the population standard deviation is known. 9. Obtain the P-value of a hypothesis test. 10. State and apply the steps for performing a hypothesis test, using the critical-value approach to hypothesis testing. 11. State and apply the steps for performing a hypothesis test, using the P-value approach to hypothesis testing. 12. Perform a hypothesis test for a population mean when the population standard deviation is unknown. ht p:/ faculty. valenciacc . edu/ashaw/ Click link to download other modules.
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Rev. F08 2 Rev.F08 4 How a Statistic is Used? ht p:/ faculty. valenciacc . edu/ashaw/ Click link to download other modules. In the previous module, we looked at methods for obtaining the confidence intervals for one population mean. We have learned that a confidence interval for a population mean , is based on a sample mean (a statistic). In this module, we are going to look at how a statistic (sample mean) is used to make decisions about hypothesized values of a parameter (population mean.) Rev.F08 5 Decision and Hypothesis Test ht p:/ faculty. valenciacc . edu/ashaw/ Click link to download other modules. One of the commonly used methods for making decision is to perform a hypothesis test A hypothesis test involves two hypotheses: the null hypothesis and the alternative hypothesis . “Testing a hypothesis” is like “testing a claim.” Rev.F08 6 What are Hypotheses? Hypotheses are working models that we adopt temporarily. Our starting hypothesis is called the null hypothesis . The null hypothesis , that we denote by H 0 , specifies a population model parameter of interest and proposes a value for that parameter . We usually write down the null hypothesis in the form H 0 : parameter = hypothesized value . The alternative hypothesis , which we denote by H A , contains the value of the parameter that we consider plausible when we reject the null hypothesis. ht p:/ faculty. valenciacc . edu/ashaw/ Click link to download other modules.
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Rev. F08 3 Rev.F08 7 Testing Hypotheses The first step in defining the null and alternative hypotheses is to determine which parameter is being tested. A parameter describes a population. Examples are the population mean , the
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This note was uploaded on 10/18/2011 for the course STA 2023 taught by Professor Shaw during the Summer '11 term at Valencia.

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s_m10_handouts - Rev F08 STA 2023 Module 10 Hypothesis...

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