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# Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 10 One- and Two-Sample Tests of Hypotheses.

## Presentation on theme: "Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 10 One- and Two-Sample Tests of Hypotheses."— Presentation transcript:

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 10 One- and Two-Sample Tests of Hypotheses

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 10.1 Statistical Hypotheses: General Concepts

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 10 - 3 Definition 10.1

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 10.2 Testing a Statistical Hypothesis

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 10 - 5 Figure 10.1 Decision criterion for testing p = 0.25 versus p > 0.25

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 10 - 6 Table 10.1 Possible Situations for Testing a Statistical Hypothesis

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 10 - 7 Figure 10.2 Probability of a type I error

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 10 - 8 Figure 10.3 Probability of a type II error

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 10 - 9 Figure 10.4 Critical region (in blue)

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 10 - 10 Figure 10.5 Critical Region for testing  = 68 versus  68

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 10 - 11 Figure 10.6 Probability of type II error for testing  = 68 versus  = 70

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 10 - 12 Figure 10.7 Type II error for testing  = 68 versus  = 68.5

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 10 - 13 Definition 10.4

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 10.3 The Use of P-Values for Decision Making in Testing Hypotheses

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 10 - 15 Figure 10.8 Data that are likely generated from populations having two different means

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 10 - 16 Definition 10.5

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 10.4 Single Sample: Tests Concerning a Single Mean

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 10 - 18 Figure 10.9 Critical region for the alternative hypothesis

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 10 - 19 Figure 10.10 P-value for Example 10.3

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 10 - 20 Figure 10.11 P-value for Example 10.4

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