# UT Knoxville STAT 201 - Chapter 20 (37 pages)

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## Chapter 20

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## Chapter 20

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Pages:
37
School:
University of Tennessee
Course:
Stat 201 - Introduction to Statistics
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Chapter 20 Chapter20 Presentation 1213 Testing Hypotheses About Proportions Copyright 2009 Pearson Education Inc 1 A Trial as a Hypothesis Test Think about the logic of criminal jury trials in the USA All suspects are presumed innocent until proven guilty beyond a reasonable doubt Chapter20 Presentation 1213 Copyright 2009 Pearson Education Inc 2 Criminal Trial vs Statistical Hypothesis Testing Criminal Trial Initial Hypothesis Challenge the Hypothesis If given the evidence data the Initial Hypothesis seems unlikely to be true If given the evidence data the Initial Hypothesis seems plausible Chapter20 Presentation 1213 Statistical Hypothesis Testing The suspect is innocent The population proportion is 0 20 or The population mean is 100 5 mm or the population The prosecution presents evidence Data are collected the sample proportion or the sample mean or the sample is calculated Suspect is declared guilty The Initial Hypothesis is rejected Continue to believe the suspect is innocent Continue to believe that The population proportion is 0 20 or The population mean is 100 5 mm or Copyright 2009 Pearson Education Inc 3 Statistical Hypotheses Our Initial Hypothesis is called the null hypothesis Notation H0 population parameter hypothesized value The alternative hypothesis which we denote by HA contains the values of the parameter that we consider plausible when we reject the null hypothesis Chapter20 Presentation 1213 Copyright 2009 Pearson Education Inc 4 Alternative Alternatives There are three possible alternative hypotheses HA parameter hypothesized value HA parameter hypothesized value HA parameter hypothesized value Chapter20 Presentation 1213 Copyright 2009 Pearson Education Inc 5 Testing Hypotheses Once we have both hypotheses we collect sample data We will compare our data to what we would expect given that H0 is true We calculate the probability of getting the sample data we got or results more unusual than that if the null hypothesis were true To calculate

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