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 Definition 10.1 Copyright © 2010 Pearson Addison- 10 - Section 10.2 Testing a Statistical Hypothesis Copyright © 2010 Pearson Addison-Wesley All rights reserved Figure 10.1 Decision criterion for testing p = 0.25 versus p > 0.25 Copyright © 2010 Pearson Addison- 10 - Definition 10.2 Copyright © 2010 Pearson Addison- 10 - Definition 10.3 Copyright © 2010 Pearson Addison- 10 - Table 10.1 Possible Situations for Testing a Statistical Hypothesis Copyright © 2010 Pearson Addison- 10 - Figure 10.2 Probability of a type I error Copyright © 2010 Pearson Addison- 10 - Figure 10.3 Probability of a type II error Copyright © 2010 Pearson Addison- 10 - 10 Table 10.6 × Contingency Table Copyright © 2010 Pearson Addison- 10 - 44 Table 10.7 Observes and Expected Frequencies Copyright © 2010 Pearson Addison- 10 - 45 Section 10.13 Test for Homogeneity Copyright © 2010 Pearson Addison-Wesley All rights reserved Table 10.8 Observed Frequencies Copyright © 2010 Pearson Addison- 10 - 47 Table 10.9 Observed and Expected Frequencies Copyright © 2010 Pearson Addison- 10 - 48 Table 10.10 k Independent Binomial Samples Copyright © 2010 Pearson Addison- 10 - 49 Table 10.11 Data for Example 10.15 Copyright © 2010 Pearson Addison- 10 - 50 Table 10.12 Observed and Expected Frequencies Copyright © 2010 Pearson Addison- 10 - 51 Section 10.14 Two-Sample Case Study Copyright © 2010 Pearson Addison-Wesley All rights reserved Table 10.13 Data for TwoSample Case Study Copyright © 2010 Pearson Addison- 10 - 53 Figure 10.21 Normal quantilequantile plot of data for alloy A Copyright © 2010 Pearson Addison- 10 - 54 Figure 10.22 Normal quantilequantile plot of data for alloy B Copyright © 2010 Pearson Addison- 10 - 55 Figure 10.23 Box-and-whisker plots for both alloys Copyright © 2010 Pearson Addison- 10 - 56 Figure 10.24 Annotated SAS printout for alloy data Copyright © 2010 Pearson Addison- 10 - 57 Section 10.15 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters Copyright © 2010 Pearson Addison-Wesley All rights reserved ... Figure 10. 9 Critical region for the alternative hypothesis Copyright â 2 010 Pearson Addison- 10 - 20 Figure 10. 10 P-value for Example 10. 3 Copyright © 2 010 Pearson Addison- 10 - 21 Figure 10. 11... © 2 010 Pearson Addison- 10 - Figure 10. 3 Probability of a type II error Copyright © 2 010 Pearson Addison- 10 - 10 Figure 10. 4 Critical region (in blue) Copyright © 2 010 Pearson Addison- 10 -... Addison- 10 - Definition 10. 3 Copyright © 2 010 Pearson Addison- 10 - Table 10. 1 Possible Situations for Testing a Statistical Hypothesis Copyright © 2 010 Pearson Addison- 10 - Figure 10. 2 Probability