Slide 4- 1,Copyright 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley,Active Learning Lecture Slides For use with Classroom Response Systems,Elementary Statistics: Picturing the World Fourth Edition by Larson and Farber,Chapter 7: Hypothesis Testing with One Sample,Slide 7- 2,Copyright 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley,State the null and alternative hypotheses. A company claims the mean lifetime of its AA batteries is more than 16 hours. H0: 16 Ha: 16 H0: 16 H0: 16 Ha: 16,Slide 7- 3,Copyright 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley,State the null and alternative hypotheses. A company claims the mean lifetime of its AA batteries is more than 16 hours. H0: 16 Ha: 16 H0: 16 H0: 16 Ha: 16,Slide 7- 4,Copyright 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley,State the null and alternative hypotheses. A student claims the mean cost of a textbook is at least $125. H0: 125 Ha: 125 H0: 125 H0: 125 Ha: 125,Slide 7- 5,Copyright 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley,State the null and alternative hypotheses. A student claims the mean cost of a textbook is at least $125. H0: 125 Ha: 125 H0: 125 H0: 125 Ha: 125,Slide 7- 6,Copyright 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley,True or false: Testing the claim that at least 88% of students have a cell phone would be a right-tail test. True False,Slide 7- 7,Copyright 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley,True or false: Testing the claim that at least 88% of students have a cell phone would be a right-tail test. True False,Slide 7- 8,Copyright 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley,You are testing the claim that the mean cost of a new car is more than $25,200. How should you interpret a decision that rejects the null hypothesis? There is enough evidence to reject the claim. There is enough evidence to support the claim. There is not enough evidence to reject the claim. There is not enough evidence to support the claim.,Slide 7- 9,Copyright 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley,You are testing the claim that the mean cost of a new car is more than $25,200. How should you interpret a decision that rejects the null hypothesis? There is enough evidence to reject the claim. There is enough evidence to support the claim. There is not enough evidence to reject the claim. There is not enough evidence to support the claim.,Slide 7- 10,Copyright 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley,True or false: Given H0: = 40 Ha: 40 and P = 0.0436. You would reject the null hypothesis at the 0.05 level of significance. True False,Slide 7- 11,Copyright 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley,True or false: Given H0: = 40 Ha: 40 and P = 0.0436. You would reject the null hypothesis at the 0.05 level of significance. True False,Slide 7- 12,Copyright 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley,Find the critical value, z0, for a left-tailed test at the 0.10 level of significance. z0 = 1.645 z0 = 1.645 z0 = 1.28 z0 = 1.28,Slide 7- 13,Copyright 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley,Find the critical value, z0, for a left-tailed test at the 0.10 level of significance. z0 = 1.645 z0 = 1.645 z0 = 1.28 z0 = 1.28,Slide 7- 14,Copyright 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley,Find the standardized test statistic z for the following situation: Claim: 15; s = 3.4 n = 40 z = 2.60 z = 2.60 z = 0.07 z = 12.90,Slide 7- 15,Copyright 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley,Find the standardized test statistic z for the following situation: Claim: 15; s = 3.4 n = 40 z = 2.60 z = 2.60 z = 0.07 z = 12.90,Slide 7- 16,Copyright 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley,Find the critical value(s), t0, for a two-tailed test, = 0.05, and n = 8. t0 = 1.96 and t0 = 1.96 t0 = 2.306 and t0 = 2.306 t0 = 1.895 and t0 = 1.895 t0 = 2.365 and t0 = 2.365,Slide 7- 17,Copyright 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley,Find the critical value(s), t0, for a two-tailed test, = 0.05, and n = 8. t0 = 1.96 and t0 = 1.96 t0 = 2.306 and t0 = 2.306 t0 = 1.895 and t0 = 1.895 t0 = 2.365 and t0 = 2.365,Slide 7- 18,Copyright 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley,Use technology to find the P-value for the following test: H0: 20 Ha: 20 s = 2.1 n = 16 0.0128 0.0257 0.9872 0.0066,Slide 7- 19,Copyright 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley,Use technology to find the P-value for the following test: H0: 20 Ha: 20 s = 2.1 n = 16 0.0128 0.0257 0.9872 0.0066,Slide 7- 20