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. A. H 0 : μ > 16 H a : μ ≤ 16 B. H 0 : μ < 16 H a : μ ≥ 16 C. H 0 : μ ≤ 16 H a : μ > 16 D. H 0 : μ ≥ 16 H a : μ < 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. A. H 0 : μ > 16 H a : μ ≤ 16 B. H 0 : μ < 16 H a : μ ≥ 16 C. H 0 : μ ≤ 16 H a : μ > 16 D. H 0 : μ ≥ 16 H a : μ < 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. A. H 0 : μ > 125 H a : μ ≤ 125 B. H 0 : μ < 125 H a : μ ≥ 125 C. H 0 : μ ≤ 125 H a : μ > 125 D. H 0 : μ ≥ 125 H a : μ < 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. A. H 0 : μ > 125 H a : μ ≤ 125 B. H 0 : μ < 125 H a : μ ≥ 125 C. H 0 : μ ≤ 125 H a : μ > 125 D. H 0 : μ ≥ 125 H a : μ < 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. A. True B. 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. A. True B. 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? A. There is enough evidence to reject the claim. B. There is enough evidence to support the claim. C. There is not enough evidence to reject the claim. D. 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? A. There is enough evidence to reject the claim. B. There is enough evidence to support the claim. C. There is not enough evidence to reject the claim. D. There is not enough evidence to support the claim.

Slide Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley True or false: Given H 0 : μ = 40 H a : μ ≠ 40 and P = You would reject the null hypothesis at the 0.05 level of significance. A. True B. False

Slide Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley True or false: Given H 0 : μ = 40 H a : μ ≠ 40 and P = You would reject the null hypothesis at the 0.05 level of significance. A. True B. False

Slide Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Find the critical value, z 0, for a left-tailed test at the 0.10 level of significance. A. z 0 = –1.645 B. z 0 = C. z 0 = –1.28 D. z 0 = 1.28

Slide Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Find the critical value, z 0, for a left-tailed test at the 0.10 level of significance. A. z 0 = –1.645 B. z 0 = C. z 0 = –1.28 D. z 0 = 1.28

Slide Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Find the standardized test statistic z for the following situation: Claim: μ >15; s = 3.4 n = 40 A. z = 2.60 B. z = –2.60 C. z = –0.07 D. z = 12.90

Slide Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Find the standardized test statistic z for the following situation: Claim: μ >15; s = 3.4 n = 40 A. z = 2.60 B. z = –2.60 C. z = –0.07 D. z = 12.90

Slide Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Find the critical value(s), t 0, for a two-tailed test, α = 0.05, and n = 8. A. –t 0 = –1.96 and t 0 = 1.96 B. –t 0 = –2.306 and t 0 = C. –t 0 = –1.895 and t 0 = D. –t 0 = –2.365 and t 0 = 2.365

Slide Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Find the critical value(s), t 0, for a two-tailed test, α = 0.05, and n = 8. A. –t 0 = –1.96 and t 0 = 1.96 B. –t 0 = –2.306 and t 0 = C. –t 0 = –1.895 and t 0 = D. –t 0 = –2.365 and t 0 = 2.365

Slide Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Use technology to find the P-value for the following test: H 0 : μ ≤ 20 H a : μ > 20 s = 2.1 n = 16 A B C D

Slide Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Use technology to find the P-value for the following test: H 0 : μ ≤ 20 H a : μ > 20 s = 2.1 n = 16 A B C D

Slide Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Find the standardized test statistic z for the following situation: Claim: p ≠ 0.23; x = 52 n = 200 A. z = 0.97 B. z = 1.01 C. z = 0.51 D. z = –1.01

Slide Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Find the standardized test statistic z for the following situation: Claim: p ≠ 0.23; x = 52 n = 200 A. z = 0.97 B. z = 1.01 C. z = 0.51 D. z = –1.01

Slide Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Find the standardized test statistic χ 2 for the following situation: Claim: σ < 5.2; s = 4.47 n = 20 A. χ 2 = B. χ 2 = C. χ 2 = D. χ 2 = 14.78

Slide Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Find the standardized test statistic χ 2 for the following situation: Claim: σ < 5.2; s = 4.47 n = 20 A. χ 2 = B. χ 2 = C. χ 2 = D. χ 2 = 14.78