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Unformatted text preview: Chapter 6: Single Sample Tests of Hypotheses: (Section #s: 6.16.6) Sec 6.1 Elements of a Test of Hypotheses Statistical Hypothesis: A statistical hypothesis is a statement about the a population Parameter. Alternative Hypothesis, denoted Ha; always contains an "inequality," inc Test Statistic: is a sample statistic, computed from information provided to decide between the Null and alternative Hypotheses Decision Errors: Type I and Type II Errors Type I Error occurs if the research rejects the null hypothesis in Type II Error occurs if the research accepts the null hypothesis Regions of Rejection and Acception The rejection region of a statistical test is the set of possible val for which the researcher will reject the Null Hypothesis (Ho) in f The acceptance region of a statistical test is the set of possible for which the researcher will Accept the Null Hypothesis (Ho). Elements of a Test of Hypothesis Null Hypothesis, denoted: Ho; always contains an "equality," including: when, in fact, the Null Hypothesis is true. The probability of com The probability of committing a Type II error is equal to " β ," (i.e. 1 Null Hypothesis 2 Alternative Hypothesis 3 Test statistic 4 Rejection region 6 experiment and calculation of test statistic 7 conclusions: Statistical Decision, consideration of Decision Errors Sec 6.2 Formulating Hypotheses and Setting Up the Rejection Region One Tailed and Two Tailed tests of Hypotheses Sec. 6.3: Test of Hypothesis about a Population Mean: Normal (Z) Stat Sec 6.4: Observed Significance Levels: Pvalues Sec 6.5: Test of Hypothesis about a Population Mean: TStatistic Sec 6.6: LargSample Test of Hypothesis about a Population Proportion Optional Topics: Sec 6.7: Calculating Type II Error Probabilities: More about Beta Sec 6.8: Test of Hypothesis about a Population Variance 5 Assumptions; e.g., page 332, 1) A random sample is selected from Ta numerical value of cluding: "≠," "<," or ">" d in the sample, that the researcher uses n favor of the alternative hypothesis, when, in fact, the Null Hypothesis is false lues of the test statistic (either Z, or T), favor of the Alternative Hypothesis (Ha). values of the test statistic (either Z, or T), : "=," "< ", or "> " mmitting a Type I error is equal to " α ," (i.e., Alpha) ., Beta) tistic n arget Population, 3) n is large, i.e., n > 30 Chapters 5 & 6 are our Introduction to Inferential Statistics Now, in Ch's 5 & 6, we are making inferences about the entire po from the Sample Data Chapter 6: Single Sample Tests of Hypotheses: (Section #s: 6.16.6) TwoTailed Z test Exercises: #6.24, #6.31 OneTailed Z test Exercises: Sec 6.1 Elements of a Test of Hypotheses Statistical Hypothesis: A statistical hypothesis is a statement ab a population Parameter....
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This note was uploaded on 03/29/2011 for the course STAT 2103 taught by Professor Pred during the Fall '10 term at Temple.
 Fall '10
 Pred
 Statistics

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