Math

StatisticsEssentials Of StatisticsTwo individuals are running for mayor of your town. You conduct an election survey a week before the election and find that 51% of the respondents prefer candidate A. Can you predict a winner? Use the 99% level. ( HINT: In a two-candidate race, what percentage of the vote would the winner need? Does the confidence interval indicate that candidate A has a sure margin of victory? Remember that while the population parameter is probably [ α = 0.01 ]in the confidence interval, it may be anywhere in the interval .) P s = 0.51 N = 578BuyFind*arrow_forward*

4th Edition

HEALEY + 1 other

Publisher: Cengage Learning,

ISBN: 9781305093836

Chapter 6, Problem 6.15P

Textbook Problem

5 views

Two individuals are running for mayor of your town. You conduct an election survey a week before the election and find that 51% of the respondents prefer candidate A. Can you predict a winner? Use the 99% level. (*HINT: In a two-candidate race, what percentage of the vote would the winner need? Does the confidence interval indicate that candidate A has a sure margin of victory? Remember that while the population parameter is probably [*
*]in the confidence interval, it may be anywhere in the interval*.)

Expert Solution

To determine

**To find:**

The confidence interval for the population mean for the specified level.

**Given:**

The given information is,

Two individuals are running for mayor of your town. You conduct an election survey a week before the election and find that 51% of the respondents prefer candidate A.

The sample proportion is 0.51, population proportion is 0.5 and sample size is 578.

**Approach:**

The confidence interval is an interval estimate from the statistics of the observed data that might contain the true value of the unknown population parameter.

**Formula used:**

For large samples and given sample proportion, the confidence interval (*c.i.*) is given by,

Where,

*Z* is the *Z* score determined by the alpha level and,

*N* is the sample size.

**Calculation:**

The population proportion is 0.5, sample proportion is 0.51.

For 99%, the *Z* value is given as,

For large samples and given sample proportion, the confidence interval (*c.i.*) is given by,

Essentials Of Statistics

Show all chapter solutions

Ch. 6 - For each set of sample outcomes below, use Formula...Ch. 6 - For each of the following sets of sample outcomes,...Ch. 6 - For each of the following confidence levels,...Ch. 6 - You have developed a series of questions to...Ch. 6 - SOC A researcher has gathered information from a...Ch. 6 - SOC A random sample of 100 cable TV movies...Ch. 6 - SOC A random sample of 429 college students was...Ch. 6 - PA A random sample of 100 inmates at a maximum...Ch. 6 - SOC The survey mentioned in problem 6.5 found that...Ch. 6 - PA A random sample of 260 workers in a high-rise...

Ch. 6 - A random sample of 1496 respondents of a major...Ch. 6 - A random sample of 100 patients treated in a...Ch. 6 - For the following sample data, construct five...Ch. 6 - For each of the following three sample sizes,...Ch. 6 - Two individuals are running for mayor of your...Ch. 6 - SOC The World Values Survey is administered...Ch. 6 - SOC The fraternities and sororities at St. Algebra...Ch. 6 - You are the automotive specialist for the monthly...

Find more solutions based on key concepts

Show solutions In a sample of n 6 scores, five of the scores are each above the mean by one point. Where is the sixth score l...

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

If a freely falling body starts from rest, then its displacement is given by s=12gt2. Let the velocity after a ...

Single Variable Calculus: Early Transcendentals, Volume I

In Exercises 3148, (a) factor the given expression, and (b) set the expression equal to zero and solve for the ...

Finite Mathematics and Applied Calculus (MindTap Course List)

Intervals Express the inequality in interval notation, and then graph the corresponding interval. 7. x 5

Precalculus: Mathematics for Calculus (Standalone Book)

Revenues, Costs, and Profits In Exercises 15 and 16, use the graph below, which gives the revenues, costs, and ...

Calculus: An Applied Approach (MindTap Course List)

(a) Suppose that an and bn are series with positive terms and bn is convergent. Prove that if limnanbn=0 the...

Multivariable Calculus

In Exercises 3148, (a) factor the given expression, and (b) set the expression equal to zero and solve for the ...

Applied Calculus

Finding Points of Intersection In Exercises 57-62, find the points of intersection of the graphs of the equatio...

Calculus: Early Transcendental Functions

The mass of part of a wire is x(1+x) kilograms, where x is measured in meters from one end of the wire. Find th...

Calculus: Early Transcendentals

For a population with a mean of =45 and a standard deviation of =10 , what is the standard error of the distrib...

Statistics for The Behavioral Sciences (MindTap Course List)

If f(x)=sinx+lnx, find f(x). Check that your answer is reasonable by comparing the graphs of f and f.

Calculus (MindTap Course List)

Education: Violent Crime The following data are based on information from the book Life in America's Small Citi...

Understanding Basic Statistics

Ultra high performance concrete (UHPC) is a relatively new construction material that is characterized by stron...

Probability and Statistics for Engineering and the Sciences

Reaction of a Frog to a Drug Experiments conducted by A. J. Clark suggest that the response R(x) of a frogs hea...

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

For Problems 3-11, simplify each numerical expression. [2(3)4(2)]5

Intermediate Algebra

In Exercises 2330, factor each expression and simplify as much as possible. 10x(x2+1)4(x3+1)5+15x2(x2+1)5(x3+1)...

Finite Mathematics

Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard funct...

Single Variable Calculus

For each theorem stated in Exercises 13 to 18, make a Drawing. On the basis of your Drawing, write a Given and ...

Elementary Geometry For College Students, 7e

13. News impact Suppose that the percent p (as a decimal) of people who could correctly identify two of eight d...

Mathematical Applications for the Management, Life, and Social Sciences

For each of the following one-to-one functions, find the equation of the inverse. Write the inverse using the n...

Trigonometry (MindTap Course List)

Erica Larsen purchased a living room set for $4,500 from Century Designs. She made a $500 down payment and fina...

Contemporary Mathematics for Business & Consumers

Problems from the Mensa Workout Mensa is a society that welcomes people from every walk of life whose IQ is in ...

Mathematical Excursions (MindTap Course List)

17. With given in Definition 7.5, prove that is a subfield of .
Definition 7.5
Complex Numbers:
Let be the ...

Elements Of Modern Algebra

Graph each equation: y=(34)x

Elementary Technical Mathematics

Evaluate the integral. 49. 1x4x+1dx

Single Variable Calculus: Early Transcendentals

Finding an Angle In Exercises 107-112, use the result of Exercise 106 to find the angle between the radial and...

Calculus: Early Transcendental Functions (MindTap Course List)

Writing the Terms of a Sequence In Exercises 1-4, write the first five terms of the sequence with the given n t...

Calculus of a Single Variable

AUTOMOBILE COLOR AND TRIM CHOICES The 2017 BMW 435i Coupe is offered with a choice of 12 exterior colors 10 met...

Finite Mathematics for the Managerial, Life, and Social Sciences

The USA TODAY Snapshot titled Social Media Jeopardizing Your Job?(USA TODAY, November 12, 2014) summarized data...

Introduction To Statistics And Data Analysis

For a = 6i − j and b = 2i + 3j, a + 2b =
2i − 4j
8i − 2j
16i − 4j
10i + 5j

Study Guide for Stewart's Multivariable Calculus, 8th

limx6(x210x)=. a) 24 b) 6 c) 26 d) does not exist

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

Complete each statement: a If a quadrilateral has two pair of congruent adjacent sides, then the quadrilateral ...

Elementary Geometry for College Students

Forbes reports that women trust recommendations from Pinterest more than recommendations from any other social ...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Draw a graph for an ABAB research design showing the data that would be obtained from a treatment with a perman...

Research Methods for the Behavioral Sciences (MindTap Course List)

Describe quota sampling, recognize examples of this technique in research reports, and explain why it is used.

Research Methods for the Behavioral Sciences (MindTap Course List)

Consider the following hypothesis test: H0: 12 Ha: 12 A sample of 25 provided a sample mean x= 14 and a sam...

Statistics for Business & Economics, Revised (MindTap Course List)

Using Rolle's Theorem In Exercises 25-28, use a graphing utility to graph the function on the closed interval ...

Calculus (MindTap Course List)

Volume The figure shows a solid bounded below by the plane z=2 and above by the sphere x2+y2+z2=8. (a) Find the...

Multivariable Calculus

Available phone numbers How many different seven digit phone numbers can be used in one area code if no phone n...

College Algebra (MindTap Course List)

For each exercise, functions and cofunctions of two angles are given. Which of the functions or cofunctios of t...

Mathematics For Machine Technology

7. The probability distribution for the random variable x follows.
x f (x)
20 .20
25 .15
30 .25
35 .40
Is this...

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

A survey of magazine subscribers showed that 45.8% rented a car during the past 12 months for business reasons,...

Essentials Of Statistics For Business & Economics

The meaning of every variable used in a proof should be explained within_______

Discrete Mathematics With Applications

Minimum Wage The table below is taken from the website of the U.S. Department of Labor. It shows the minimum wa...

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

Distinct Real Eigenvalues In Problems 112 find the general solution of the given system. 11. X=(11034323181412)...

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

In Exercise 13-18, do the following. a. Use the Eulers Theorem to determine whether the graph has an Euler trai...

Mathematics: A Practical Odyssey

Use the following information to answer the next five exercises. Two metal alloys are being considered as mater...

Introductory Statistics

In the following exercises, given Ln or Rn as indicated, express their limits as n as definite integrals, ident...

Calculus Volume 2