Statistics: The Art and Science of Learning from Data (4th Edition)
Statistics: The Art and Science of Learning from Data (4th Edition)
4th Edition
ISBN: 9780321997838
Author: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg
Publisher: PEARSON
bartleby

Concept explainers

bartleby

Videos

Textbook Question
Book Icon
Chapter 11, Problem 66CP

Benford’s Law When looking at a collection of numbers, such as population sizes, the figures on tax returns or the charges on a credit card, one may think that the leading digit of the number is equally likely to be any of the numbers from 1 to 9. However, such data sets often show a distribution for the leading digit that is quite different from uniform and is described by Benford’s Law. This law stipulates that the probability for the leading digit to be 1 is 30.1%, whereas the probability of the leading digit to be 9 is only 4.6% instead of a uniform 1/9 = 11.1 % probability for each. The following table shows the distribution of the leading digit of the last 130 transactions on the credit card of one of the authors. The raw data file is available for download on the book’s website.

Chapter 11, Problem 66CP, Benfords Law When looking at a collection of numbers, such as population sizes, the figures on tax

  1. a. Find the expected counts, assuming the leading digits for the transactions follow Benford’s Law.
  2. b. Is there evidence that the distribution of the leading digit does not follow Benford’s Law? Write a conclusion based on an appropriate test. If available, use software to read in the raw data and compute the test statistic and P-value.
Blurred answer

Chapter 11 Solutions

Statistics: The Art and Science of Learning from Data (4th Edition)

Ch. 11.2 - Marital happiness and income In Exercise 11.5 when...Ch. 11.2 - First and second free throw independent? In pro...Ch. 11.2 - Cigarettes and marijuana The table on the...Ch. 11.2 - Prob. 14PBCh. 11.2 - Help the environment In 2010 the GSS asked whether...Ch. 11.2 - Prob. 16PBCh. 11.2 - Aspirin and heart attacks A Swedish study used...Ch. 11.2 - z test for heart attack study Refer to the...Ch. 11.2 - Severity of fever after flu shot The study...Ch. 11.2 - Prob. 20PBCh. 11.2 - Testing a genetic theory In an experiment on...Ch. 11.2 - Birthdays by quarters Based on a random sample of...Ch. 11.2 - Checking a roulette wheel Karl Pearson devised the...Ch. 11.3 - Democrat, race, and gender The two tables show...Ch. 11.3 - Death penalty associations Table 11.10, summarized...Ch. 11.3 - Smoking and alcohol The table refers to a survey...Ch. 11.3 - Sex of victim and offender For murders in the...Ch. 11.3 - Smelling and mortality A recent study (Pinto et...Ch. 11.3 - Vioxx In September 2004, the pharmaceutical...Ch. 11.3 - Egg and cell derived vaccine When comparing the...Ch. 11.3 - Risk of dying for teenagers According to...Ch. 11.3 - Marital happiness The table shows 2012 GSS data on...Ch. 11.3 - Party ID and gender The table shows the 2012 GSS...Ch. 11.3 - Chi-squared versus measuring association For the...Ch. 11.4 - Standardized residuals for happiness and income...Ch. 11.4 - Prob. 36PBCh. 11.4 - Prob. 37PBCh. 11.4 - Prob. 38PBCh. 11.4 - Prob. 39PBCh. 11.4 - Prob. 40PBCh. 11.5 - Keeping old dogs mentally sharp In an experiment...Ch. 11.5 - Prob. 43PBCh. 11.5 - Prob. 44PBCh. 11.5 - Prob. 46PBCh. 11 - Female for president? When recent General Social...Ch. 11 - Prob. 48CPCh. 11 - Down and chi-squared For the data in the previous...Ch. 11 - Prob. 50CPCh. 11 - Prob. 51CPCh. 11 - Prob. 52CPCh. 11 - Prob. 53CPCh. 11 - Prob. 54CPCh. 11 - Prob. 55CPCh. 11 - Prob. 56CPCh. 11 - Seat belt helps? The table refers to passengers in...Ch. 11 - Prob. 58CPCh. 11 - Prob. 59CPCh. 11 - Prob. 60CPCh. 11 - Prob. 61CPCh. 11 - Prob. 62CPCh. 11 - Prob. 63CPCh. 11 - Prob. 64CPCh. 11 - Clarity of diamonds Does the clarity of a diamond...Ch. 11 - Benfords Law When looking at a collection of...Ch. 11 - Prob. 67CPCh. 11 - Prob. 68CPCh. 11 - Prob. 70CPCh. 11 - Prob. 71CPCh. 11 - Prob. 72CPCh. 11 - Prob. 73CPCh. 11 - Prob. 74CPCh. 11 - Prob. 75CPCh. 11 - Prob. 76CPCh. 11 - Prob. 77CPCh. 11 - Prob. 78CPCh. 11 - Prob. 79CPCh. 11 - Statistical versus practical significance In any...Ch. 11 - Prob. 81CPCh. 11 - Multiple response variables Each subject in a...Ch. 11 - Standardized residuals for 2 2 tables The table...Ch. 11 - Prob. 84CPCh. 11 - Prob. 85CPCh. 11 - Prob. 86CPCh. 11 - Prob. 87CPCh. 11 - Prob. 88CPCh. 11 - Voting with 16 A recent survey of Austrian high...
Knowledge Booster
Background pattern image
Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Text book image
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Text book image
College Algebra
Algebra
ISBN:9781938168383
Author:Jay Abramson
Publisher:OpenStax
The Shape of Data: Distributions: Crash Course Statistics #7; Author: CrashCourse;https://www.youtube.com/watch?v=bPFNxD3Yg6U;License: Standard YouTube License, CC-BY
Shape, Center, and Spread - Module 20.2 (Part 1); Author: Mrmathblog;https://www.youtube.com/watch?v=COaid7O_Gag;License: Standard YouTube License, CC-BY
Shape, Center and Spread; Author: Emily Murdock;https://www.youtube.com/watch?v=_YyW0DSCzpM;License: Standard Youtube License