Elementary Statistics: Picturing the World (7th Edition)
7th Edition
ISBN: 9780134683416
Author: Ron Larson, Betsy Farber
Publisher: PEARSON
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Textbook Question
Chapter 7.4, Problem 8E
Hypothesis Testing Using Rejection Regions In Exercises 7–12, (a) identify the claim and state H0 and Ha, (b) find the critical value(s) and identify the rejection region (s), (c) find the standardized test statistic z, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim.
8. Internal Revenue Service Audits A research center claims that at least 27% of U.S. adults think that the IRS will audit their taxes. In a random sample of 1000 U.S. adults in a recent year, 23% say they are concerned that the IRS will audit their taxes. At α = 0.01, is there enough evidence to reject the center’s claim? (Source: Rasmussen Reports)
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Chapter 7 Solutions
Elementary Statistics: Picturing the World (7th Edition)
Ch. 7.1 - Write each claim as a mathematical statement....Ch. 7.1 - A company specializing in parachute assembly...Ch. 7.1 - For each claim, state H0 and Ha in words and in...Ch. 7.1 - You perform a hypothesis test for each claim. How...Ch. 7.1 - 1. You represent a chemical company that is being...Ch. 7.1 - What are the two types of hypotheses used in a...Ch. 7.1 - Describe the two types of errors possible in a...Ch. 7.1 - Prob. 3ECh. 7.1 - Does failing to reject the null hypothesis mean...Ch. 7.1 - True or False? In Exercises 510, determine whether...
Ch. 7.1 - True or False? In Exercises 510, determine whether...Ch. 7.1 - True or False? In Exercises 510, determine whether...Ch. 7.1 - True or False? In Exercises 510, determine whether...Ch. 7.1 - True or False? In Exercises 510, determine whether...Ch. 7.1 - True or False? In Exercises 510, determine whether...Ch. 7.1 - Stating Hypotheses In Exercises 1116, the...Ch. 7.1 - Stating Hypotheses In Exercises 1116, the...Ch. 7.1 - Stating Hypotheses In Exercises 1116, the...Ch. 7.1 - Stating Hypotheses In Exercises 1116, the...Ch. 7.1 - Stating Hypotheses In Exercises 1116, the...Ch. 7.1 - Stating Hypotheses In Exercises 1116, the...Ch. 7.1 - Graphical Analysis In Exercises 1720, match the...Ch. 7.1 - Graphical Analysis In Exercises 1720, match the...Ch. 7.1 - Graphical Analysis In Exercises 1720, match the...Ch. 7.1 - Graphical Analysis In Exercises 1720, match the...Ch. 7.1 - Identifying a Test In Exercises 2124, determine...Ch. 7.1 - Identifying a Test In Exercises 2124, determine...Ch. 7.1 - Identifying a Test In Exercises 2124, determine...Ch. 7.1 - Identifying a Test In Exercises 2124, determine...Ch. 7.1 - Stating the Null and Alternative Hypotheses In...Ch. 7.1 - Stating the Null and Alternative Hypotheses In...Ch. 7.1 - Stating the Null and Alternative Hypotheses In...Ch. 7.1 - Stating the Null and Alternative Hypotheses In...Ch. 7.1 - Stating the Null and Alternative Hypotheses In...Ch. 7.1 - Stating the Null and Alternative Hypotheses In...Ch. 7.1 - Identifying Type I and Type II Errors In Exercises...Ch. 7.1 - Identifying Type I and Type II Errors In Exercises...Ch. 7.1 - Identifying Type I and Type II Errors In Exercises...Ch. 7.1 - Identifying Type I and Type II Errors In Exercises...Ch. 7.1 - Identifying Type I and Type II Errors In Exercises...Ch. 7.1 - Identifying Type I and Type II Errors In Exercises...Ch. 7.1 - Identifying the Nature of a Hypothesis Test In...Ch. 7.1 - Identifying the Nature of a Hypothesis Test In...Ch. 7.1 - Identifying the Nature of a Hypothesis Test In...Ch. 7.1 - Identifying the Nature of a Hypothesis Test In...Ch. 7.1 - Identifying the Nature of a Hypothesis Test In...Ch. 7.1 - Identifying the Nature of a Hypothesis Test In...Ch. 7.1 - Interpreting a Decision In Exercises 4348,...Ch. 7.1 - Interpreting a Decision In Exercises 4348,...Ch. 7.1 - Interpreting a Decision In Exercises 4348,...Ch. 7.1 - Interpreting a Decision In Exercises 4348,...Ch. 7.1 - Interpreting a Decision In Exercises 4348,...Ch. 7.1 - Interpreting a Decision In Exercises 4348,...Ch. 7.1 - Writing Hypotheses: Medicine A medical research...Ch. 7.1 - Writing Hypotheses: Transportation Network Company...Ch. 7.1 - Writing Hypotheses: Backpack Manufacturer A...Ch. 7.1 - Writing Hypotheses: Internet Provider An Internet...Ch. 7.1 - Prob. 53ECh. 7.1 - Getting at the Concept Explain why a level of...Ch. 7.1 - Prob. 55ECh. 7.1 - Prob. 56ECh. 7.1 - Graphical Analysis In Exercises 5760, you are...Ch. 7.1 - Graphical Analysis In Exercises 5760, you are...Ch. 7.1 - Graphical Analysis In Exercises 5760, you are...Ch. 7.1 - Graphical Analysis In Exercises 5760, you are...Ch. 7.2 - The P-value for a hypothesis test is P = 0.0745....Ch. 7.2 - Find the P-value for a left-tailed hypothesis test...Ch. 7.2 - Find the P-value for a two-tailed hypothesis test...Ch. 7.2 - Homeowners claim that the mean speed of...Ch. 7.2 - According to a study of employed U.S. adults ages...Ch. 7.2 - Repeat Example 6 using a level of significance of ...Ch. 7.2 - Find the critical value and rejection region for a...Ch. 7.2 - Find the critical values and rejection regions for...Ch. 7.2 - The CEO of the company in Example 9 claims that...Ch. 7.2 - In Example 10, at = 0.01, is there enough...Ch. 7.2 - Explain the difference between the z-test for ...Ch. 7.2 - In hypothesis testing, does using the critical...Ch. 7.2 - Interpreting a P-Value In Exercises 38, the...Ch. 7.2 - Interpreting a P-Value In Exercises 38, the...Ch. 7.2 - Interpreting a P-Value In Exercises 38, the...Ch. 7.2 - Interpreting a P-Value In Exercises 38, the...Ch. 7.2 - Interpreting a P-Value In Exercises 38, the...Ch. 7.2 - Interpreting a P-Value In Exercises 38, the...Ch. 7.2 - Finding a P-Value In Exercises 914, find the...Ch. 7.2 - Finding a P-Value In Exercises 914, find the...Ch. 7.2 - Finding a P-Value In Exercises 914, find the...Ch. 7.2 - Finding a P-Value In Exercises 914, find the...Ch. 7.2 - Finding a P-Value In Exercises 914, find the...Ch. 7.2 - Finding a P-Value In Exercises 914, find the...Ch. 7.2 - Graphical Analysis In Exercises 15 and 16, match...Ch. 7.2 - Graphical Analysis In Exercises 15 and 16, match...Ch. 7.2 - In Exercises 17 and 18, use the TI-84 Plus...Ch. 7.2 - In Exercises 17 and 18, use the TI-84 Plus...Ch. 7.2 - Finding Critical Values and Rejection Regions In...Ch. 7.2 - Finding Critical Values and Rejection Regions In...Ch. 7.2 - Finding Critical Values and Rejection Regions In...Ch. 7.2 - Finding Critical Values and Rejection Regions In...Ch. 7.2 - Finding Critical Values and Rejection Regions In...Ch. 7.2 - Finding Critical Values and Rejection Regions In...Ch. 7.2 - Graphical Analysis In Exercises 25 and 26, state...Ch. 7.2 - Graphical Analysis In Exercises 25 and 26, state...Ch. 7.2 - In Exercises 2730, test the claim about the...Ch. 7.2 - In Exercises 2730, test the claim about the...Ch. 7.2 - In Exercises 2730, test the claim about the...Ch. 7.2 - In Exercises 2730, test the claim about the...Ch. 7.2 - Hypothesis Testing Using a P-Value In Exercises...Ch. 7.2 - Hypothesis Testing Using a P-Value In Exercises...Ch. 7.2 - Hypothesis Testing Using a P-Value In Exercises...Ch. 7.2 - Hypothesis Testing Using a P-Value In Exercises...Ch. 7.2 - Hypothesis Testing Using a P-Value In Exercises...Ch. 7.2 - Hypothesis Testing Using a P-Value In Exercises...Ch. 7.2 - Hypothesis Testing Using Rejection Region(s) In...Ch. 7.2 - Hypothesis Testing Using Rejection Region(s) In...Ch. 7.2 - Hypothesis Testing Using Rejection Region(s) In...Ch. 7.2 - Hypothesis Testing Using Rejection Region(s) In...Ch. 7.2 - Hypothesis Testing Using Rejection Region(s) In...Ch. 7.2 - Hypothesis Testing Using Rejection Region(s) In...Ch. 7.2 - Writing When P , does the standardized test...Ch. 7.2 - Writing In a right-tailed test where P , does the...Ch. 7.3 - Find the critical value for a left-tailed test...Ch. 7.3 - Find the critical value t0 for a right-tailed lest...Ch. 7.3 - Find the critical values t0 and t0 for a...Ch. 7.3 - An industry analyst says that the mean age of a...Ch. 7.3 - The company in Example 5 claims that the mean...Ch. 7.3 - Another department of motor vehicles office claims...Ch. 7.3 - Explain how to find critical values for a...Ch. 7.3 - Explain how to use a t-test to test a hypothesized...Ch. 7.3 - In Exercises 38, find the critical value(s) and...Ch. 7.3 - In Exercises 38, find the critical value(s) and...Ch. 7.3 - In Exercises 38, find the critical value(s) and...Ch. 7.3 - In Exercises 38, find the critical value(s) and...Ch. 7.3 - In Exercises 38, find the critical value(s) and...Ch. 7.3 - In Exercises 38, find the critical value(s) and...Ch. 7.3 - Graphical Analysis In Exercises 912, state whether...Ch. 7.3 - Graphical Analysis In Exercises 912, state whether...Ch. 7.3 - Graphical Analysis In Exercises 912, state whether...Ch. 7.3 - Graphical Analysis In Exercises 912, state whether...Ch. 7.3 - In Exercises 1318, test the claim about the...Ch. 7.3 - In Exercises 1318, test the claim about the...Ch. 7.3 - In Exercises 1318, test the claim about the...Ch. 7.3 - In Exercises 1318, test the claim about the...Ch. 7.3 - In Exercises 1318, test the claim about the...Ch. 7.3 - In Exercises 1318, test the claim about the...Ch. 7.3 - Hypothesis Testing Using Rejection Regions In...Ch. 7.3 - Hypothesis Testing Using Rejection Regions In...Ch. 7.3 - Hypothesis Testing Using Rejection Regions In...Ch. 7.3 - Hypothesis Testing Using Rejection Regions In...Ch. 7.3 - Hypothesis Testing Using Rejection Regions In...Ch. 7.3 - Hypothesis Testing Using Rejection Regions In...Ch. 7.3 - Hypothesis Testing Using Rejection Regions In...Ch. 7.3 - Hypothesis Testing Using Rejection Regions In...Ch. 7.3 - Using a P-Value with a t-Test In Exercises 2730,...Ch. 7.3 - Using a P-Value with a t-Test In Exercises 2730,...Ch. 7.3 - Using a P-Value with a t-Test In Exercises 2730,...Ch. 7.3 - Using a P-Value with a t-Test In Exercises 2730,...Ch. 7.3 - Deciding on a Distribution In Exercises 31 and 32,...Ch. 7.3 - Prob. 32ECh. 7.3 - Writing You are testing a claim and incorrectly...Ch. 7.3 - Set n = 15, Mean = 40, Std. Dev. = 5, and the...Ch. 7.3 - Prob. 2ACh. 7.3 - Set n = 25, Mean = 25, Std. Dev. = 3, and the...Ch. 7.3 - Human Body Temperature: Whats Normal? In an...Ch. 7.3 - Human Body Temperature: Whats Normal? In an...Ch. 7.3 - Human Body Temperature: Whats Normal? In an...Ch. 7.3 - Human Body Temperature: Whats Normal? In an...Ch. 7.3 - Human Body Temperature: Whats Normal? In an...Ch. 7.3 - In an article in the Journal of Statistics...Ch. 7.4 - A researcher claims that more than 90% of U.S....Ch. 7.4 - A researcher claims that 67% of U.S. adults...Ch. 7.4 - Explain how to determine whether a normal...Ch. 7.4 - Explain how to test a population proportion p.Ch. 7.4 - In Exercises 36, determine whether a normal...Ch. 7.4 - In Exercises 36, determine whether a normal...Ch. 7.4 - In Exercises 36, determine whether a normal...Ch. 7.4 - In Exercises 36, determine whether a normal...Ch. 7.4 - Hypothesis Testing Using Rejection Regions In...Ch. 7.4 - Hypothesis Testing Using Rejection Regions In...Ch. 7.4 - Hypothesis Testing Using Rejection Regions In...Ch. 7.4 - Working Students An education researcher claims...Ch. 7.4 - Hypothesis Testing Using Rejection Regions In...Ch. 7.4 - Hypothesis Testing Using Rejection Regions In...Ch. 7.4 - Hypothesis Testing Using a P-Value In Exercises...Ch. 7.4 - Hypothesis Testing Using a P-Value In Exercises...Ch. 7.4 - Hypothesis Testing Using a P-Value In Exercises...Ch. 7.4 - Hypothesis Testing Using a P-Value In Exercises...Ch. 7.4 - Protecting the Environment In Exercises 17 and 18,...Ch. 7.4 - What Are Peoples Attitudes About Protecting the...Ch. 7.4 - Alternative Formula In Exercises 19 and 20, use...Ch. 7.4 - The alternative formula is derived from the...Ch. 7.4 - Set n = 25 and True p = 0.35. Test the claim that...Ch. 7.4 - Prob. 2ACh. 7.5 - Find the critical value02 right-tailed test when n...Ch. 7.5 - Prob. 2TYCh. 7.5 - Prob. 3TYCh. 7.5 - A bottling company claims that the variance of the...Ch. 7.5 - Prob. 5TYCh. 7.5 - A company that offers dieting products and weight...Ch. 7.5 - Explain how to find critical values in a...Ch. 7.5 - Can a critical value for the chi-square test be...Ch. 7.5 - Prob. 3ECh. 7.5 - Prob. 4ECh. 7.5 - In Exercises 512, find the critical value(s) and...Ch. 7.5 - In Exercises 512, find the critical value(s) and...Ch. 7.5 - In Exercises 512, find the critical value(s) and...Ch. 7.5 - In Exercises 512, find the critical value(s) and...Ch. 7.5 - In Exercises 512, find the critical value(s) and...Ch. 7.5 - In Exercises 512, find the critical value(s) and...Ch. 7.5 - In Exercises 512, find the critical value(s) and...Ch. 7.5 - In Exercises 512, find the critical value(s) and...Ch. 7.5 - Graphical Analysis In Exercises 13 and 14, state...Ch. 7.5 - Prob. 14ECh. 7.5 - In Exercises 1522, test the claim about the...Ch. 7.5 - Prob. 16ECh. 7.5 - In Exercises 1522, test the claim about the...Ch. 7.5 - In Exercises 1522, test the claim about the...Ch. 7.5 - In Exercises 1522, test the claim about the...Ch. 7.5 - Prob. 20ECh. 7.5 - In Exercises 1522, test the claim about the...Ch. 7.5 - In Exercises 1522, test the claim about the...Ch. 7.5 - Hypothesis Testing Using Rejection Regions In...Ch. 7.5 - Hypothesis Testing Using Rejection Regions In...Ch. 7.5 - Hypothesis Testing Using Rejection Regions In...Ch. 7.5 - Hypothesis Testing Using Rejection Regions In...Ch. 7.5 - Hypothesis Testing Using Rejection Regions In...Ch. 7.5 - Hypothesis Testing Using Rejection Regions In...Ch. 7.5 - Hypothesis Testing Using Rejection Regions In...Ch. 7.5 - Hypothesis Testing Using Rejection Regions In...Ch. 7.5 - Prob. 31ECh. 7.5 - Prob. 32ECh. 7.5 - Prob. 33ECh. 7.5 - Prob. 34ECh. 7 - EXERCISES In Exercises 13, assume that you work...Ch. 7 - Describe how your report could make a type I...Ch. 7 - Prob. 3UACh. 7 - In Exercises 16, the statement represents a claim....Ch. 7 - In Exercises 16, the statement represents a claim....Ch. 7 - Prob. 7.1.3RECh. 7 - In Exercises 16, the statement represents a claim....Ch. 7 - Prob. 7.1.5RECh. 7 - In Exercises 16, the statement represents a claim....Ch. 7 - In Exercises 710, (a) state the null and...Ch. 7 - Prob. 7.1.8RECh. 7 - Prob. 7.1.9RECh. 7 - In Exercises 710, (a) state the null and...Ch. 7 - In Exercises 11 and 12, find the P-value for the...Ch. 7 - Prob. 7.2.12RECh. 7 - Prob. 7.2.13RECh. 7 - In Exercises 1316, find the critical value(s) and...Ch. 7 - Prob. 7.2.15RECh. 7 - Prob. 7.2.16RECh. 7 - Prob. 7.2.17RECh. 7 - In Exercises 1720, state whether the standardized...Ch. 7 - In Exercises 1720, state whether the standardized...Ch. 7 - In Exercises 1720, state whether the standardized...Ch. 7 - In Exercises 2124, test the claim about the...Ch. 7 - In Exercises 2124, test the claim about the...Ch. 7 - In Exercises 2124, test the claim about the...Ch. 7 - Prob. 7.2.24RECh. 7 - In Exercises 25 and 26, (a) identify the claim and...Ch. 7 - In Exercises 25 and 26, (a) identify the claim and...Ch. 7 - In Exercises 27 and 28, (a) identify the claim and...Ch. 7 - In Exercises 27 and 28, (a) identify the claim and...Ch. 7 - Prob. 7.3.29RECh. 7 - In Exercises 2934, find the critical value(s) and...Ch. 7 - In Exercises 2934, find the critical value(s) and...Ch. 7 - Prob. 7.3.32RECh. 7 - Prob. 7.3.33RECh. 7 - In Exercises 2934, find the critical value(s) and...Ch. 7 - Prob. 7.3.35RECh. 7 - Prob. 7.3.36RECh. 7 - In Exercises 3540, test the claim about the...Ch. 7 - In Exercises 3540, test the claim about the...Ch. 7 - Prob. 7.3.39RECh. 7 - Prob. 7.3.40RECh. 7 - In Exercises 41 and 42, (a) identify the claim and...Ch. 7 - In Exercises 41 and 42, (a) identify the claim and...Ch. 7 - In Exercises 43 and 44, (a) identify the claim and...Ch. 7 - Prob. 7.3.44RECh. 7 - Prob. 7.4.45RECh. 7 - In Exercises 4548, determine whether a normal...Ch. 7 - Prob. 7.4.47RECh. 7 - In Exercises 4548, determine whether a normal...Ch. 7 - Prob. 7.4.49RECh. 7 - In Exercises 49 and 50, (a) identify the claim and...Ch. 7 - Prob. 7.5.51RECh. 7 - Prob. 7.5.52RECh. 7 - Prob. 7.5.53RECh. 7 - Prob. 7.5.54RECh. 7 - Prob. 7.5.55RECh. 7 - Prob. 7.5.56RECh. 7 - Prob. 7.5.57RECh. 7 - In Exercises 5558, test the claim about the...Ch. 7 - Prob. 7.5.59RECh. 7 - Prob. 7.5.60RECh. 7 - Prob. 7.5.61RECh. 7 - Prob. 7.5.62RECh. 7 - Take this quiz as you would take a quiz in class....Ch. 7 - Prob. 2CQCh. 7 - Take this quiz as you would take a quiz in class....Ch. 7 - Prob. 4CQCh. 7 - Prob. 5CQCh. 7 - Prob. 6CQCh. 7 - Take this test as you would take a test in class....Ch. 7 - Take this test as you would take a test in class....Ch. 7 - Take this test as you would take a test in class....Ch. 7 - Take this test as you would take a test in class....Ch. 7 - Take this quiz as you would take a quiz in class....Ch. 7 - Take this test as you would take a test in class....Ch. 7 - Take this quiz as you would take a quiz in class....Ch. 7 - Supporting a Claim You want your test to support a...Ch. 7 - Testing a Claim You want to claim that students at...Ch. 7 - Testing a Claim You want to claim that your...Ch. 7 - EXERCISES 1. The Minilab display below shows a...Ch. 7 - In Exercise 1, you rejected the claim that p =...Ch. 7 - Describe a hypothesis test for Judge Fords random...
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- Population Genetics In the study of population genetics, an important measure of inbreeding is the proportion of homozygous genotypesthat is, instances in which the two alleles carried at a particular site on an individuals chromosomes are both the same. For population in which blood-related individual mate, them is a higher than expected frequency of homozygous individuals. Examples of such populations include endangered or rare species, selectively bred breeds, and isolated populations. in general. the frequency of homozygous children from mating of blood-related parents is greater than that for children from unrelated parents Measured over a large number of generations, the proportion of heterozygous genotypesthat is, nonhomozygous genotypeschanges by a constant factor 1 from generation to generation. The factor 1 is a number between 0 and 1. If 1=0.75, for example then the proportion of heterozygous individuals in the population decreases by 25 in each generation In this case, after 10 generations, the proportion of heterozygous individuals in the population decreases by 94.37, since 0.7510=0.0563, or 5.63. In other words, 94.37 of the population is homozygous. For specific types of matings, the proportion of heterozygous genotypes can be related to that of previous generations and is found from an equation. For mating between siblings 1 can be determined as the largest value of for which 2=12+14. This equation comes from carefully accounting for the genotypes for the present generation the 2 term in terms of those previous two generations represented by for the parents generation and by the constant term of the grandparents generation. a Find both solutions to the quadratic equation above and identify which is 1 use a horizontal span of 1 to 1 in this exercise and the following exercise. b After 5 generations, what proportion of the population will be homozygous? c After 20 generations, what proportion of the population will be homozygous?arrow_forwardWhat term is used to express the likelihood of an event occurring? Are there restrictions on its values? If so, what are they? If not, explain.arrow_forwardWhat is the difference between events and outcomes? Give an example of both using the sample space of tossing a coin 50 times.arrow_forward
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