Slide 8- 1 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. MAT 155 Chapter 8 Hypothesis Testing The following is a brief review of Chapter 8. This does NOT cover all the material in that chapter. Click on Slide Show and View Slide Show. Read and note your answer to the question. Advance the slide to see the answer. Thanks to Ms. Valerie Melvin for her portion of this review. Dr. Claude Moore, Math Instructor, CFCC

Slide 8- 2 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. A researcher claims that 62% of voters favor gun control. Identify the null hypothesis H 0 and the alternative hypothesis H 1. A. H 0 : p < 0.62, H 1 : p ≥ 0.62 B. H 0 : p = 0.62, H 1 : p = 0.62 C. H 0 : p = 0.62, H 1 : p = 0.62 D. H 0 : p ≥ 0.62, H 1 : p < 0.62

Slide 8- 3 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. A researcher claims that 62% of voters favor gun control. Identify the null hypothesis H 0 and the alternative hypothesis H 1. A. H 0 : p < 0.62, H 1 : p ≥ 0.62 B. H 0 : p = 0.62, H 1 : p = 0.62 C. H 0 : p = 0.62, H 1 : p = 0.62 D. H 0 : p ≥ 0.62, H 1 : p < 0.62

Slide 8- 4 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Assume that the data have a normal distribution and the number of observations is greater than 50. Using α = 0.05 for a left-tailed test, find the critical z value used to test the null hypothesis. A. –1.645 B. +/–1.96 C. +/–1.645 D. –1.96

Slide 8- 5 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Assume that the data have a normal distribution and the number of observations is greater than 50. Using α = 0.05 for a left-tailed test, find the critical z value used to test the null hypothesis. A. –1.645 B. +/–1.96 C. +/–1.645 D. –1.96

Slide 8- 6 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Carter Motor Company claims that its new sedan, the Libra, will average better than 30 miles per gallon in the city. Identify the type I error of the test. A. The error of failing to reject the hypothesis that the mean is 30 miles per gallon when it is actually greater than 30 miles per gallon. B. The error of rejecting the hypothesis that the mean is 30 miles per gallon when it really is 30 miles per gallon. C. The error of rejecting the hypothesis that the mean is more than 30 miles per gallon when it really is more than 30 miles per gallon.

Slide 8- 7 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Carter Motor Company claims that its new sedan, the Libra, will average better than 30 miles per gallon in the city. Identify the type I error of the test. A. The error of failing to reject the hypothesis that the mean is 30 miles per gallon when it is actually greater than 30 miles per gallon. B. The error of rejecting the hypothesis that the mean is 30 miles per gallon when it really is 30 miles per gallon. C. The error of rejecting the hypothesis that the mean is more than 30 miles per gallon when it really is more than 30 miles per gallon.

Slide 8- 8 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. A medical school claims that more than 28% of its students plan to go into general practice. It is found that among a random sample of 130 students, 32% of them plan to go into general practice. Find the P- value for a test of the school’s claim. A B C D

Slide 8- 9 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. A medical school claims that more than 28% of its students plan to go into general practice. It is found that among a random sample of 130 students, 32% of them plan to go into general practice. Find the P- value for a test of the school’s claim. A B C D

Slide Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Determine whether the hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution, or neither. The sample data appear to come from a normally distributed population with σ = 28. Claim: μ = 977. Sample data: n = 25, x = 984, s = 25. A. Student t B. Neither C. Normal

Slide Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Determine whether the hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution, or neither. The sample data appear to come from a normally distributed population with σ = 28. Claim: μ = 977. Sample data: n = 25, x = 984, s = 25. A. Student t B. Neither C. Normal

Slide Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Find the critical value or values of χ 2 based on the given information. H 1 : σ > 26.1, n = 9, α = 0.01 A B C D

Slide Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Find the critical value or values of χ 2 based on the given information. H 1 : σ > 26.1, n = 9, α = 0.01 A B C D