Understanding Basic Statistics
Understanding Basic Statistics
8th Edition
ISBN: 9781337558075
Author: Charles Henry Brase, Corrinne Pellillo Brase
Publisher: Cengage Learning
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Chapter 10.2, Problem 19P

Please provide the following information for Problems 11-22. part (a):

(i) What is the level of significance? State the null and alternate hypotheses.

(ii)Check Requirements What sampling distribution will you use? What assumptions are you making? What is the value of the sample test statistic? Compute the corresponding z or t value as appropriate.

(iii)Find (or estimate) the P-value. Sketch the sampling distribution and show the area corresponding to the P-value.

(iv)Based on your answers in parts (i)—(iii), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a?

(v)Interpret your conclusion in the context of the application.

Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount, and therefore produce a slightly more “conservative” answer. Answers may vary due to rounding.

Wildlife: Fox Rabies A study of fox rabies in southern Germany gave information about different regions and the occurrence of rabies in each region (Reference: B. Sayers et al., “A Pattern Analysis Study of a Wildlife Rabies Epizootic" Medical Informatics 2:11-34). Based on information from this article, a random sample of n 1 =   16 locations in region I gave the following information about the number of cases of fox rabies near that location:

x1: Region I data

1 8 8 8 7 8 8 1
3 3 3 2 5 1 4 6

A second random sample of n 2 =   15 locations in region II gave the following information about the number of cases of fox rabies near that location:

x2: Region II data

1 1 3 1 4 8 5 4
4 4 2 2 5 6 9

Use a calculator with sample mean and sample standard deviation keys to verify that x ¯ 1 =   4.75  with  s 1   2.82 in region I and x ¯ 2 =   3.93  with  s 2   2.43 in region II.

(a) Does this information indicate that there is a difference (either way) in the mean number of cases of fox rabies between the two regions? Use a 5% level of significance. (Assume the distribution of rabies cases in both regions is mound-shaped and approximately normal.)

(b) Find a 95% confidence interval for µ 1   µ 2 . Explain the meaning of the confidence interval in the context of the problem.

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Chapter 10 Solutions

Understanding Basic Statistics

Ch. 10.1 - For Problems 9-17 assume that the distribution of...Ch. 10.1 - For Problems 9-17 assume that the distribution of...Ch. 10.1 - For Problems 9-17 assume that the distribution of...Ch. 10.1 - Prob. 14PCh. 10.1 - For Problems 9-17 assume that the distribution of...Ch. 10.1 - For Problems 9-17 assume that the distribution of...Ch. 10.1 - Prob. 17PCh. 10.1 - Expand Your Knowledge: Confidence Intervals for d...Ch. 10.1 - Prob. 19PCh. 10.1 - Prob. 20PCh. 10.2 - Statistical Literacy Consider a hypothesis test of...Ch. 10.2 - Prob. 2PCh. 10.2 - Prob. 3PCh. 10.2 - Prob. 4PCh. 10.2 - Critical Thinking Josh and Kendra each calculated...Ch. 10.2 - Critical Thinking If a 90% confidence interval for...Ch. 10.2 - Basic Computation: Paired Differences Test For a...Ch. 10.2 - Basic Computation: Texting 12 Two populations have...Ch. 10.2 - Basic Computation: Testing- 12 A random sample of...Ch. 10.2 - Basic Computation: Testing 12 Two populations have...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Prob. 21PCh. 10.2 - Prob. 22PCh. 10.2 - Prob. 23PCh. 10.2 - Prob. 24PCh. 10.2 - Prob. 25PCh. 10.2 - Critical Region Method: Testing 12;1,2Known Redo...Ch. 10.3 - Statistical Literacy Consider a hypothesis test of...Ch. 10.3 - Statistical Literacy Consider a hypothesis test of...Ch. 10.3 - Critical Thinking Consider two independent...Ch. 10.3 - Critical Thinking If a 90% confidence interval for...Ch. 10.3 - Prob. 5PCh. 10.3 - Basic Computation: Testing p1p2 For one binomial...Ch. 10.3 - Federal Tax Money: Art Funding Would you favor...Ch. 10.3 - Art Funding: Politics Would you favor spending...Ch. 10.3 - Sociology: Trusting People Generally speaking,...Ch. 10.3 - Political Science: Voters This problem is based on...Ch. 10.3 - Extraterrestrials: Believe It? Based on...Ch. 10.3 - Art: Polities Do you prefer paintings in which the...Ch. 10.3 - Prob. 13PCh. 10.3 - Critical Region Method: Testing p1p2 Redo Problem...Ch. 10.3 - Basic Computation: Confidence Inters al for p1p2...Ch. 10.3 - Prob. 16PCh. 10.3 - Myers-Briggs: Marriage Counseling Isabel Myers was...Ch. 10.3 - Myers-Briggs: Marriage Counseling Most married...Ch. 10.3 - Navajo Culture: Traditional Hogans S. C. Jett is a...Ch. 10.3 - Archaeology: Cultural Affiliation "Unknown...Ch. 10.3 - Critical Thinking: Different Confidence Levels (a)...Ch. 10.3 - Focus Problem: Wood Duck Nests In the Focus...Ch. 10 - Statistical Literacy and Terminology When are two...Ch. 10 - 2. Statistical Literacy and Terminology When are...Ch. 10 - For each hypothesis test in Problems 3-10, please...Ch. 10 - For each hypothesis test in Problems 3-10, please...Ch. 10 - For each hypothesis test in Problems 3-10, please...Ch. 10 - For each hypothesis test in Problems 3-10, please...Ch. 10 - For each hypothesis test in Problems 3-10, please...Ch. 10 - Prob. 8CRCh. 10 - For each hypothesis test in Problems 3-10, please...Ch. 10 - For each hypothesis test in Problems 3-10, please...Ch. 10 - Prob. DHGPCh. 10 - In there a relationship between confidence...
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