Elementary Statistics: Picturing the World (6th Edition)
6th Edition
ISBN: 9780321911216
Author: Ron Larson, Betsy Farber
Publisher: PEARSON
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Textbook Question
Chapter 7.2, Problem 7E
Interpreting a P-Value In Exercises 3–8, the P-value for a hypothesis test is shown. Use the P-value to decide whether to reject H0 when the level of significance is (a) α = 0.01, (b) α = 0.05, and (c) α = 0.10.
7. P = 0.0838
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The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject
H0
when the level of significance is (a)
α=0.01,
(b)
α=0.05,
and (c)
α=0.10.
P=0.0413
P -Values. In Exercises 17–20, do the following:
a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed.
b. Find the P-value. (See Figure 8-3 on page 364.)
c. Using a significance level of α = 0.05, should we reject H0 or should we fail to reject H0?
The test statistic of z = 2.01 is obtained when testing the claim that p ≠ 0.345.
Testing Claims About Variation. In Exercises 5–16, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Assume that a simple random sample is selected from a normally distributed population.
Body Temperature Example 5 in Section 8-3 involved a test of the claim that humans have body temperatures with a mean equal to 98.6°F. The sample of 106 body temperatures has a standard deviation of 0.62°F. The conclusion in that example would change if the sample standard deviation s were 2.08°F or greater. Use a 0.01 significance level to test the claim that the sample of 106 body temperatures is from a population with a standard deviation less than 2.08°F. What does the result tell us about the validity of the hypothesis test in Example 5 in Section 8-3?
Chapter 7 Solutions
Elementary Statistics: Picturing the World (6th Edition)
Ch. 7.1 - Prob. 1TYCh. 7.1 - Prob. 2TYCh. 7.1 - Prob. 3TYCh. 7.1 - Prob. 4TYCh. 7.1 - Prob. 5TYCh. 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 - Prob. 25ECh. 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 - Prob. 29ECh. 7.1 - Prob. 30ECh. 7.1 - Prob. 31ECh. 7.1 - Prob. 32ECh. 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 - Prob. 35ECh. 7.1 - Prob. 36ECh. 7.1 - Prob. 37ECh. 7.1 - Prob. 38ECh. 7.1 - Prob. 39ECh. 7.1 - Prob. 40ECh. 7.1 - Prob. 41ECh. 7.1 - Prob. 42ECh. 7.1 - Interpreting a Decision In Exercises 4348,...Ch. 7.1 - Prob. 44ECh. 7.1 - Interpreting a Decision In Exercises 4348,...Ch. 7.1 - Interpreting a Decision In Exercises 4348,...Ch. 7.1 - Prob. 47ECh. 7.1 - Prob. 48ECh. 7.1 - Writing Hypotheses: Medicine A medical research...Ch. 7.1 - Writing Hypotheses: Transportation Network Company...Ch. 7.1 - Prob. 51ECh. 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 - Prob. 1TYCh. 7.2 - Prob. 2TYCh. 7.2 - Prob. 3TYCh. 7.2 - Prob. 4TYCh. 7.2 - Prob. 5TYCh. 7.2 - Prob. 6TYCh. 7.2 - Prob. 7TYCh. 7.2 - Prob. 8TYCh. 7.2 - Prob. 9TYCh. 7.2 - Prob. 10TYCh. 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 - Prob. 24ECh. 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 - Prob. 28ECh. 7.2 - Prob. 29ECh. 7.2 - In Exercises 2730, test the claim about the...Ch. 7.2 - Prob. 31ECh. 7.2 - Hypothesis Testing Using a P-Value In Exercises...Ch. 7.2 - Prob. 33ECh. 7.2 - Prob. 34ECh. 7.2 - Prob. 35ECh. 7.2 - Prob. 36ECh. 7.2 - Prob. 37ECh. 7.2 - Prob. 38ECh. 7.2 - Hypothesis Testing Using Rejection Region(s) In...Ch. 7.2 - Hypothesis Testing Using Rejection Region(s) In...Ch. 7.2 - Prob. 41ECh. 7.2 - Prob. 42ECh. 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 - Prob. 1TYCh. 7.3 - Prob. 2TYCh. 7.3 - Prob. 3TYCh. 7.3 - Prob. 4TYCh. 7.3 - Prob. 5TYCh. 7.3 - Prob. 6TYCh. 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 - Prob. 9ECh. 7.3 - Prob. 10ECh. 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 - Prob. 16ECh. 7.3 - Prob. 17ECh. 7.3 - Prob. 18ECh. 7.3 - Prob. 19ECh. 7.3 - Prob. 20ECh. 7.3 - Prob. 21ECh. 7.3 - Prob. 22ECh. 7.3 - Prob. 23ECh. 7.3 - Prob. 24ECh. 7.3 - Prob. 25ECh. 7.3 - Prob. 26ECh. 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. 30ECh. 7.3 - Writing You are testing a claim and incorrectly...Ch. 7.3 - Prob. 1ACh. 7.3 - Prob. 2ACh. 7.3 - Prob. 3ACh. 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 - Prob. 1TYCh. 7.4 - Prob. 2TYCh. 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 - Prob. 7ECh. 7.4 - Prob. 8ECh. 7.4 - Prob. 9ECh. 7.4 - Prob. 10ECh. 7.4 - Prob. 11ECh. 7.4 - Prob. 12ECh. 7.4 - Prob. 13ECh. 7.4 - Prob. 14ECh. 7.4 - Prob. 15ECh. 7.4 - Prob. 16ECh. 7.4 - Prob. 17ECh. 7.4 - Prob. 18ECh. 7.4 - Prob. 19ECh. 7.4 - The alternative formula is derived from the...Ch. 7.4 - Prob. 1ACh. 7.4 - Prob. 2ACh. 7.5 - Prob. 1TYCh. 7.5 - Prob. 2TYCh. 7.5 - Prob. 3TYCh. 7.5 - Prob. 4TYCh. 7.5 - Prob. 5TYCh. 7.5 - Prob. 6TYCh. 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 - Graphical Analysis In Exercises 13 and 14, state...Ch. 7.5 - Prob. 12ECh. 7.5 - In Exercises 1522, test the claim about the...Ch. 7.5 - Prob. 14ECh. 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 - Prob. 18ECh. 7.5 - Prob. 19ECh. 7.5 - Prob. 20ECh. 7.5 - Hypothesis Testing Using Rejection Regions In...Ch. 7.5 - Prob. 22ECh. 7.5 - Prob. 23ECh. 7.5 - Prob. 24ECh. 7.5 - Prob. 25ECh. 7.5 - Prob. 26ECh. 7.5 - Prob. 27ECh. 7.5 - Prob. 28ECh. 7 - Prob. 1UACh. 7 - Prob. 2UACh. 7 - Prob. 3UACh. 7 - Prob. 4UACh. 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 - Prob. 7.1.7RECh. 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 - In Exercises 25 and 26, (a) identify the claim and...Ch. 7 - In Exercises 25 and 26, (a) identify the claim and...Ch. 7 - Prob. 7.2.15RECh. 7 - In Exercises 1316, find the critical value(s) and...Ch. 7 - Prob. 7.2.17RECh. 7 - Prob. 7.2.18RECh. 7 - Prob. 7.2.19RECh. 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. 7.2.26RECh. 7 - Prob. 7.2.27RECh. 7 - Prob. 7.2.28RECh. 7 - Prob. 7.3.29RECh. 7 - In Exercises 2934, find the critical value(s) and...Ch. 7 - Prob. 7.3.31RECh. 7 - In Exercises 2934, find the critical value(s) and...Ch. 7 - Prob. 7.3.33RECh. 7 - Prob. 7.3.34RECh. 7 - In Exercises 3540, test the claim about the...Ch. 7 - In Exercises 3540, test the claim about the...Ch. 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 - Prob. 7.3.39RECh. 7 - Prob. 7.3.40RECh. 7 - Prob. 7.4.41RECh. 7 - Prob. 7.4.42RECh. 7 - In Exercises 4548, determine whether a normal...Ch. 7 - In Exercises 4548, determine whether a normal...Ch. 7 - Prob. 7.4.45RECh. 7 - Prob. 7.4.46RECh. 7 - Prob. 7.5.47RECh. 7 - Prob. 7.5.48RECh. 7 - Prob. 7.5.49RECh. 7 - Prob. 7.5.50RECh. 7 - Prob. 7.5.51RECh. 7 - Prob. 7.5.52RECh. 7 - Prob. 7.5.53RECh. 7 - In Exercises 5558, test the claim about the...Ch. 7 - Prob. 7.5.55RECh. 7 - Prob. 7.5.56RECh. 7 - Prob. 7.5.57RECh. 7 - Take this quiz as you would take a quiz in class....Ch. 7 - Prob. 2CQCh. 7 - Prob. 3CQCh. 7 - Prob. 4CQCh. 7 - Prob. 5CQCh. 7 - Prob. 6CQCh. 7 - Prob. 1CTCh. 7 - Prob. 2CTCh. 7 - Prob. 3CTCh. 7 - Prob. 4CTCh. 7 - Take this quiz as you would take a quiz in class....Ch. 7 - Prob. 6CTCh. 7 - Prob. 7CTCh. 7 - Prob. 1RSRDCh. 7 - Prob. 2RSRDCh. 7 - Prob. 3RSRDCh. 7 - Prob. 4RSRDCh. 7 - EXERCISES 1. The Minilab display below shows a...Ch. 7 - In Exercise 1, you rejected the claim that p =...Ch. 7 - Prob. 3TCh. 7 - Describe a hypothesis test for Judge Fords random...
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