menu
bartleby
search
close search
Hit Return to see all results
close solutoin list

What percentage of the population live in their state of birth? According to the U.S. Census Bureau’s American Community Survey, the figure ranges from 25% in Nevada to 78.7% in Louisiana ( AARP Bulletin, March 2014). The average percentage across all states and the District of Columbia is 57.7%. The data in the DATAfile Homestate are consistent with the findings in the American Community Survey. The data are for a random sample of 120 Arkansas residents and for a random sample of 180 Virginia residents. a. Formulate hypotheses that can be used to determine whether the percentage of stay-at-home residents in the two states differs from the overall average of 57.7%. b. Estimate the proportion of stay-at-home residents in Arkansas. Does this proportion differ significantly from the mean proportion for all states? Use α = .05. c. Estimate the proportion of stay-at-home residents in Virginia. Does this proportion differ significantly from the mean proportion for all states? use α = .05. d. Would you expect the proportion of stay-at-home residents to be higher in Virginia than in Arkansas? Support your conclusion with the results obtained in parts (b) and (c).

BuyFindarrow_forward

STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

Solutions

Chapter
Section
BuyFindarrow_forward

STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884
Chapter 9.5, Problem 39E
Textbook Problem
1102 views

What percentage of the population live in their state of birth? According to the U.S. Census Bureau’s American Community Survey, the figure ranges from 25% in Nevada to 78.7% in Louisiana (AARP Bulletin, March 2014). The average percentage across all states and the District of Columbia is 57.7%. The data in the DATAfile Homestate are consistent with the findings in the American Community Survey. The data are for a random sample of 120 Arkansas residents and for a random sample of 180 Virginia residents.

  1. a. Formulate hypotheses that can be used to determine whether the percentage of stay-at-home residents in the two states differs from the overall average of 57.7%.
  2. b. Estimate the proportion of stay-at-home residents in Arkansas. Does this proportion differ significantly from the mean proportion for all states? Use α = .05.
  3. c. Estimate the proportion of stay-at-home residents in Virginia. Does this proportion differ significantly from the mean proportion for all states? use α = .05.
  4. d. Would you expect the proportion of stay-at-home residents to be higher in Virginia than in Arkansas? Support your conclusion with the results obtained in parts (b) and (c).

a.

To determine

Identify the null and alternative hypotheses most appropriate for the given situation.

Explanation of Solution

Here, the claim is that the percentage of stay-at-home residents in the two states differs from the overall average of 57.7%. This can be written as p0.577. The complement of the claim is, p=0.577. In the given experiment, the alternative hypothesis indicates the claim

b.

To determine

Find the proportion of stay-at-home residents in Arkansas.

Check whether the proportion differ significantly from the mean proportion for all states or not.

c.

To determine

Find the proportion of stay-at-home residents in Virginia.

Check whether the proportion differ significantly from the mean proportion for all states or not.

d.

To determine

Explain the proportion of stay-at-home residents to be higher in Virginia than in Arkansas.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Chapter 9 Solutions

STATISTICS F/BUSINESS+ECONOMICS-TEXT
Show all chapter solutions
add
Ch. 9.3 - Consider the following hypothesis test: H0: = 15...Ch. 9.3 - Consider the following hypothesis test: H0: 80...Ch. 9.3 - Consider the following hypothesis test: H0: 50...Ch. 9.3 - Consider the following hypothesis test: H0: = 22...Ch. 9.3 - Individuals filing federal income tax returns...Ch. 9.3 - In a study entitled How Undergraduate Students Use...Ch. 9.3 - The mean hourly wage for employees in...Ch. 9.3 - Young millennials, adults aged 18 to 34, are...Ch. 9.3 - The Internal Revenue Service (IRS) provides a...Ch. 9.3 - Annual expenditure for prescription drugs was 838...Ch. 9.3 - Fowle Marketing Research, Inc., bases charges to a...Ch. 9.3 - CCN and ActMedia provided a television channel...Ch. 9.4 - Consider the following hypothesis test: H0: 12...Ch. 9.4 - Consider the following hypothesis test: H0: = 18...Ch. 9.4 - Consider the following hypothesis test: H0: 45...Ch. 9.4 - Consider the following hypothesis test: H0: = 100...Ch. 9.4 - Which is cheaper: eating out or dining in? The...Ch. 9.4 - A shareholders group, in lodging a protest,...Ch. 9.4 - The national mean annual salary for a school...Ch. 9.4 - The time married men with children spend on child...Ch. 9.4 - The Coca-Cola Company reported that the mean per...Ch. 9.4 - According to the National Automobile Dealers...Ch. 9.4 - The mean annual premium for automobile insurance...Ch. 9.4 - Joans Nursery specializes in custom-designed...Ch. 9.5 - Consider the following hypothesis test: H0: p =...Ch. 9.5 - Consider the following hypothesis test: H0: p .75...Ch. 9.5 - The U.S. Bureau of Labor Statistics reports that...Ch. 9.5 - A study by Consumer Reports showed that 64% of...Ch. 9.5 - What percentage of the population live in their...Ch. 9.5 - Last year, 46% of business owners gave a holiday...Ch. 9.5 - Ten years ago 53% of American families owned...Ch. 9.5 - According to the University of Nevada Center for...Ch. 9.5 - Eagle Outfitters is a chain of stores specializing...Ch. 9.5 - One of the reasons health care costs have been...Ch. 9.5 - The American Association of Individual Investors...Ch. 9.6 - consider the following hypothesis test. H0: 10...Ch. 9.6 - Consider the following hypothesis test. H0: = 20...Ch. 9.6 - Fowle Marketing Research, Inc., bases charges to a...Ch. 9.6 - A consumer research group is interested in testing...Ch. 9.6 - Young Adult magazine states the following...Ch. 9.6 - Refer to exercise 48. Assume the firm selects a...Ch. 9.6 - Sparr Investments, Inc., specializes in...Ch. 9.7 - Consider the following hypothesis test. H0: 10...Ch. 9.7 - Consider the following hypothesis test. H0: = 20...Ch. 9.7 - Suppose the project director for the Hilltop...Ch. 9.7 - A special industrial battery must have a life of...Ch. 9.7 - Young Adult magazine states the following...Ch. 9.7 - An automobile mileage study tested the following...Ch. 9 - A production line operates with a mean filling...Ch. 9 - At Western University the historical mean of...Ch. 9 - Young children in the United States are exposed to...Ch. 9 - The Wall Street Journal reported that bachelors...Ch. 9 - Data from the Office for National Statistics show...Ch. 9 - A recent issue of the AARP Bulletin reported that...Ch. 9 - The chamber of commerce of a Florida Gulf coast...Ch. 9 - In Hamilton County, Ohio, the mean number of days...Ch. 9 - On December 25, 2009, an airline passenger was...Ch. 9 - An airline promotion to business travelers is...Ch. 9 - Members of the millennial generation are...Ch. 9 - The unemployment rate for 18- to 34-year-olds was...Ch. 9 - A radio station in Myrtle Beach announced that at...Ch. 9 - In recent years more people have been working past...Ch. 9 - Shorney Construction Company bids on projects...Ch. 9 - A federal funding program is available to...Ch. 9 - H0: = 120 and Ha: 120 are used to test whether...Ch. 9 - Quality Associates, Inc. Quality Associates, Inc.,...Ch. 9 - Ethical Behavior of Business Students at Bayview...

Additional Math Textbook Solutions

Find more solutions based on key concepts
Show solutions add
Why do economists sometimes offer conflicting advice to policymakers?

Principles of Macroeconomics (MindTap Course List)

What has happened to Hewlett Packard's liquidity position over the past 5 years? How does Hewlett Packard's liq...

Fundamentals of Financial Management, Concise Edition (with Thomson ONE - Business School Edition, 1 term (6 months) Printed Access Card) (MindTap Course List)

What four financial statements are contained in most annual reports?

Fundamentals of Financial Management (MindTap Course List)

Describe service-oriented architecture (SOA).

Pkg Acc Infor Systems MS VISIO CD

Is it possible to obtain a negative value for the variance or the standard deviation?

Statistics for The Behavioral Sciences (MindTap Course List)

True or False: A population that follows a logistic model will never reach its carrying capacity.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Find each value. 2!4!6!8!3!5!7!

College Algebra (MindTap Course List)

Write the formula for the declining-balance rate. (17-3)

Contemporary Mathematics for Business & Consumers

In Exercises 7-28, perform the indicated operations and simplify each expression. 22. 2x(x+1)1/2(x+1)1/2x2

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

In the figure, are lines m, n, and p concurrent?

Elementary Geometry for College Students

Find f'(x) and f"(x). f(x)=x21+ex

Single Variable Calculus: Early Transcendentals, Volume I

True or False: Let . Then f(x, y) is a joint probability function.

Study Guide for Stewart's Multivariable Calculus, 8th

Special Rounding Instructions For this exercise set, round all regression parameters to three decimal places, b...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

Graphing Sine and Cosine Functions Graph the function. 16. g(x) = 4 2 sin x

Precalculus: Mathematics for Calculus (Standalone Book)

In Exercises 110, evaluate the expression. P(10,4)C(12,6)

Finite Mathematics for the Managerial, Life, and Social Sciences

Data for a sample of 55 members of the Baseball Hall of Fame in Cooperstown, New York are shown here. Each obse...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)