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
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 7.1, Problem 1PB
Simulating the exit poll Simulate an exit poll of 100 voters, using the Sampling Distribution web app accessible from the book’s website, assuming that the population proportion is 0.53. Refer to Activity 1 for guidance on using the app.
- a. Simulate drawing one random sample of size 100. What sample proportion did you get? Why do you not expect to get exactly 0.53?
- b. Keep the
sample size n as 100 and p as 0.53, but now simulate drawing 10,000 samples of that size. Use the histogram of the 10,000 sample proportions you generated to describe the simulated sampling distribution (shape, center, spread). (Note: The app allows you to save the graph to file.) - c. Use a formula from this section to predict the value of the standard deviation of the sample proportions that you generated in part b. Compare it to the standard deviation of the 10,000 simulated sample proportions stated in the title of the graph.
- d. Now change the population proportion to 0.7, keeping the sample size n at 100. Simulate the exit poll 10,000 times. How would you say the results differ from those in part b?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
a =1500, b=1700 what is percentage of a is b
A 12-inch bar that is clamped at both ends is to be subjected to an increasing amount of stress until it snaps. Let Y = the distance from the left end at which the break occurs. Suppose Y has the following pdf.
f(y) =
{
(a) Compute the cdf of Y.
F(y) =
0
0
y
-옴)
0 ≤ y ≤ 12
1-
12
y 12
Graph the cdf of Y.
F(y)
1.0
0.8
0.6
0.4
0.2
y
2
6
8
10
12
F(y)
F(y)
F(y)
1.01
1.0ㅏ
1.0
0.8
0.6
0.4
0.2
0.8
0.8
0.6
0.4
ཨཱུ སྦེ
0.6
0.4
0.2
2
4
6
8
10
12
(b) Compute P(Y ≤ 5), P(Y > 6), and P(5 ≤ y ≤ 6). (Round your answers to three decimal places.)
P(Y ≤ 5) =
P(Y > 6) =
P(5 ≤ y ≤ 6) =
(c) Compute E(Y), E(y²), and V(Y).
E(Y) =
in
E(Y2)
v(x) =
in 2
2
2
4
6
8
10
12
y
2
4
6
8
10
12
A restaurant serves three fixed-price dinners costing $12, $15, and $20. For a randomly selected couple dining at this restaurant, let X = the cost of the man's dinner and Y = the cost of the woman's dinner. The joint pmf of X and Y is given in the following table.
p(x, y)
15
y
12
20
12
0.05 0.10
0.35
x
15
0.00 0.20
0.10
20
0.05 0.05
0.10
(a) Compute the marginal pmf of X.
x
12
Px(x)
Compute the marginal pmf of Y.
y
Pyly)
12
15
20
15
20
(b) What is the probability that the man's and the woman's dinner cost at most $15 each?
(c) Are X and Y independent? Justify your answer.
X and Y are independent because P(x, y) = Px(x) · Py(y).
X and Y are not independent because P(x, y) =Px(x) · Pyly).
X and Y are not independent because P(x, y) * Px(x) · Py(y).
X and Y are independent because P(x, y) * Px(x) · Py(y).
(d) What is the expected total cost, in dollars, of the dinner for the two people?
$
(e) Suppose that when a couple opens fortune cookies at the conclusion of the meal, they find the…
Chapter 7 Solutions
Statistics: The Art and Science of Learning from Data (4th Edition)
Ch. 7.1 - Simulating the exit poll Simulate an exit poll of...Ch. 7.1 - Simulate condo solicitations A company that is...Ch. 7.1 - Condo sample distribution Consider the sampling...Ch. 7.1 - iPhone apps Let p = 0.25 be the proportion of...Ch. 7.1 - Other scenario for exit poll Refer to Examples 1...Ch. 7.1 - Prob. 6PBCh. 7.1 - Random variability in baseball A baseball player...Ch. 7.1 - Relative frequency of heads Construct the sampling...Ch. 7.1 - Prob. 9PBCh. 7.1 - Effect of n on sample proportion The figure...
Ch. 7.1 - Syracuse full-time students Youd like to estimate...Ch. 7.1 - Gender distributions At a university, 60% of the...Ch. 7.1 - Prob. 13PBCh. 7.1 - Prob. 14PBCh. 7.2 - Simulate taking midterms Assume that the...Ch. 7.2 - Education of the self-employed According to a...Ch. 7.2 - Rolling one die Let X denote the outcome of...Ch. 7.2 - Playing roulette A roulette wheel in Las Vegas has...Ch. 7.2 - Simulate rolling dice Access the Sampling...Ch. 7.2 - Prob. 20PBCh. 7.2 - Shared family phone plan A recent personalized...Ch. 7.2 - Dropped from plan previous exercise mentions that...Ch. 7.2 - Restaurant profit? Jans All You Can Eat Restaurant...Ch. 7.2 - Survey accuracy A study investigating the...Ch. 7.2 - Blood pressure Vincenzo Baranello was diagnosed...Ch. 7.2 - Household size According to the 2010 U.S. census...Ch. 7.2 - Average monthly sales A large corporation employs...Ch. 7.2 - Prob. 28PBCh. 7.2 - CLT for skewed population Access the Sampling...Ch. 7.2 - Prob. 30PBCh. 7 - Practicing the Basics Exam performance An exam...Ch. 7 - Blue eyes According to a Boston Globe story, only...Ch. 7 - Prob. 33CPCh. 7 - Prob. 34CPCh. 7 - Prob. 35CPCh. 7 - Returning shipment Refer to the previous exercise,...Ch. 7 - Prob. 37CPCh. 7 - Home runs Based on data from the 2010 Major League...Ch. 7 - Physicians assistants The 2006 AAPA survey of the...Ch. 7 - Bank machine withdrawals An executive in an...Ch. 7 - PDI The scores on the Psychomotor Development...Ch. 7 - Number of sex partners According to recent General...Ch. 7 - Prob. 43CPCh. 7 - Too little or too much cola? Refer to the previous...Ch. 7 - Prob. 45CPCh. 7 - Prob. 46CPCh. 7 - Prob. 47CPCh. 7 - Purpose of sampling distribution Youd like to...Ch. 7 - Prob. 49CPCh. 7 - Prob. 50CPCh. 7 - Prob. 51CPCh. 7 - Prob. 52CPCh. 7 - Prob. 53CPCh. 7 - Winning at roulette Part b of Example 7 used the...Ch. 7 - True or false As the sample size increases, the...Ch. 7 - Prob. 56CPCh. 7 - Prob. 57CPCh. 7 - Prob. 58CPCh. 7 - Prob. 59CPCh. 7 - Prob. 60CPCh. 7 - Prob. 61CPCh. 7 - Prob. 62CPCh. 7 - Prob. 63CP
Knowledge Booster
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.Similar questions
- Let X = the time between two successive arrivals at the drive-up window of a local bank. If X has an exponential distribution with λ = 1, (which is identical to a standard gamma distribution with α = 1), compute the following. (If necessary, round your answer to three decimal places.) (a) the expected time between two successive arrivals (b) the standard deviation of the time between successive arrivals (c) P(X ≤ 1) (d) P(2 ≤ X ≤ 4) You may need to use the appropriate table in the Appendix of Tablesarrow_forwardIn each case, determine the value of the constant c that makes the probability statement correct. (Round your answers to two decimal places.) USE SALT (a) (c) 0.9842 (b) P(0 ≤ Z ≤ c) = 0.3051 (c) P(CZ) = 0.1335 You may need to use the appropriate table in the Appendix of Tables to answer this question.arrow_forwardSarrow_forward
- Find a video or article about confidence intervals and post a short summary and a link.arrow_forwardprovide analysis based on the data on the image answering the following: Define Regression as a method to establish whether the pairs of data (observations) follow a straight line. Here, you are required to perform a regression between Y and X for the purpose of prediction. Show the regression line and then discuss the following: Run an OLS regression to test the significance of the theoretical signs expected What is the Y-intercept Compute the slope R square and r (correlation coefficient) Is the explanatory variable significant at the 5% level? That is, what is the “t” value? Estimate the regression equation and graphically show the regression line Compute the p-value and is it less than the 5% cut off point for being significant?arrow_forwardseries and sequencearrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Sampling Methods and Bias with Surveys: Crash Course Statistics #10; Author: CrashCourse;https://www.youtube.com/watch?v=Rf-fIpB4D50;License: Standard YouTube License, CC-BY
Statistics: Sampling Methods; Author: Mathispower4u;https://www.youtube.com/watch?v=s6ApdTvgvOs;License: Standard YouTube License, CC-BY