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Unformatted text preview: Statistics for Economists Lecture 15 Kata Bognar UCLA Hypothesis Tests Hypothesis Test for the Population Mean Statistics for Economists Lecture 15 Kata Bognar UCLA May 25, 2010 Statistics for Economists Lecture 15 Kata Bognar UCLA Hypothesis Tests Hypothesis Test for the Population Mean Announcements • Midterm 2 scores are online. Statistics for Economists Lecture 15 Kata Bognar UCLA Hypothesis Tests Hypothesis Test for the Population Mean Last Lecture • tInterval procedure • Hypothesis testing Statistics for Economists Lecture 15 Kata Bognar UCLA Hypothesis Tests Hypothesis Test for the Population Mean Today’s Outline 1 Hypothesis tests for the population mean 2 zTest, critical and pvalue approach 3 tTest 4 Readings: Weiss, Chapter 9.2  9.3, 9.5  9.6 5 Readings for next class: Weiss, Chapter 12.1  12.2 Statistics for Economists Lecture 15 Kata Bognar UCLA Hypothesis Tests Hypothesis Test for the Population Mean Decision Rule in Hypothesis Testing • We decide about the rejection or nonrejection of the null hypothesis based on the value of a test statistic for the sample. • The rejection region is the set of values for the test statistics that leads to rejection of the null hypothesis. • The nonrejection region is the set of values for the test statistics that leads to nonrejection of the null hypothesis. • The critical values of the test statistic separate the rejection regions from the nonrejection region. • The critical value(s) depend on the significance level of the test. Statistics for Economists Lecture 15 Kata Bognar UCLA Hypothesis Tests Hypothesis Test for the Population Mean Decision Rule in Hypothesis Testing  Example Transaction times at the ATMs of a particular bank have a distribution with mean 270 and standard deviation 24 seconds... • Assuming that the null hypothesis is true, ¯ X is approximately normally distributed with μ ¯ x = 270 and σ = 24 / √ 64 = 3 . • Decision rule: • reject the null if the sample mean is not higher than 264 = ⇒ rejection region: ¯ X ≤ 264 . • do not reject the null if the sample mean is higher than 264 = ⇒ nonrejection region: ¯ X > 264 . • The significance level of this test is about 2 . 5% . Statistics for Economists Lecture 15 Kata Bognar UCLA Hypothesis Tests Hypothesis Test for the Population Mean Decision Rule in Hypothesis Testing  Example (cont.) Transaction times at the ATMs of a particular bank have a distribution with mean 270 and standard deviation 24 seconds......
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This note was uploaded on 05/31/2010 for the course ECON 41 taught by Professor Guggenberger during the Spring '07 term at UCLA.
 Spring '07
 Guggenberger

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