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

S O C A sample of 25 cities have been classified as high or low on their homicide rates and on the number of handguns sold within the city limits. a. Is there a relationship between these variables? Do cities with higher homicide rates have significantly higher handgun sales? Explain your results in a sentence or two, citing both the results of the chi square test and the patterns of the column percentages. b. The table is constructed assuming that homicide rate is the independent variable (“higher homicide rates cause people to buy more guns”). Can you think of an argument that would make handgun sales the independent variable? Which is the more logical argument? Why? Volume of Handgun Sales Homicide Rate Low High Totals High 8 5 13 Low Totals 4 12 8 13 12 25

BuyFindarrow_forward

Essentials Of Statistics

4th Edition
HEALEY + 1 other
Publisher: Cengage Learning,
ISBN: 9781305093836

Solutions

Chapter
Section
BuyFindarrow_forward

Essentials Of Statistics

4th Edition
HEALEY + 1 other
Publisher: Cengage Learning,
ISBN: 9781305093836
Chapter 10, Problem 10.4P
Textbook Problem
169 views

S O C A sample of 25 cities have been classified as high or low on their homicide rates and on the number of handguns sold within the city limits.

a. Is there a relationship between these variables? Do cities with higher homicide rates have significantly higher handgun sales? Explain your results in a sentence or two, citing both the results of the chi square test and the patterns of the column percentages.

b. The table is constructed assuming that homicide rate is the independent variable (“higher homicide rates cause people to buy more guns”). Can you think of an argument that would make handgun sales the independent variable? Which is the more logical argument? Why?

Volume of Handgun Sales Homicide Rate
Low High Totals
High 8 5 13
Low
Totals
4 12 8 13 12 25

To determine

(a)

To find:

The chi square value for the given information and test for its significance.

Explanation of Solution

Given:

The given statement is,

A sample of 25 cities have been classified as high or low on their homicide rates and on the number of handguns sold within the city limits.

The given table of information is,

Volume of Handgun Sales Homicide Rate
Low High Totals
High 8 5 13
Low 4 8 12
Totals 12 13 25

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.

The five step model for hypothesis testing is,

Step 1. Making assumptions and meeting test requirements.

Step 2. Stating the null hypothesis.

Step 3. Selecting the sampling distribution and establishing the critical region.

Step 4. Computing test statistics.

Step 5. Making a decision and interpreting the results of the test.

Formula used:

For a chi square, the expected frequency fe is given as,

fe=Rowmarginal×ColumnmarginalN

Where N is the total of frequencies.

The chi square statistic is given by,

χ2(obtained)=(fofe)2fe

Where fo is the observed frequency,

And fe is the expected frequency.

The degrees of freedom for the bivariate table is given as,

df=(r1)(c1)

Where r is the number of rows and c is the number of columns.

Calculation:

From the given information,

The observed frequency is given as,

fe=Rowmarginal×ColumnmarginalN.....(1)

Substitute 13 for row marginal, 12 for column marginal and 26 for N in equation (1).

f1=13×1225=6.24

Substitute 13 for row marginal, 13 for column marginal and 26 for N in equation (1).

f2=13×1325=6.76

Substitute 12 for row marginal, 12 for column marginal and 26 for N in equation (1).

f3=12×1225=5.76

Substitute 12 for row marginal, 13 for column marginal and 26 for N in equation (1).

f4=12×1325=6.24

Consider the following table,

6.25 fo fe fofe (fofe)2 (fofe)2/fe
8 6.24 1.76 3.1 0.50
5 6.76 1.76 3.1 0.46
4 5.76 1.76 3.1 0.54
8 6.24 1.76 3.1 0.50
Total 25 25 0 χ2=2
To determine

(b)

To explain:

The given statement.

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

Additional Math Textbook Solutions

Find more solutions based on key concepts
Show solutions add
Factoring Completely Factor the expression completely. 121. 3x3 x2 12x + 4

Precalculus: Mathematics for Calculus (Standalone Book)

Find the minimum cost C (in dollars) given that 2(1.5C + 80) 2(2.5C 20)

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

Find the derivatives of the functions in Problems 1-14. 3.

Mathematical Applications for the Management, Life, and Social Sciences

Verifying Divergence In Exercises 11-18, verify that the infinite series diverges. n=1nn+1

Calculus: Early Transcendental Functions (MindTap Course List)

True or False: is a convergent series.

Study Guide for Stewart's Multivariable Calculus, 8th

The third partial sum of is:

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

Simplify. (a2+b2)+(a2+b2)

Mathematics For Machine Technology

Consider the following data for two variables, x and y. Compute the standardized residuals for these data. Do ...

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

ReminderRound all answers to two decimal places unless otherwise indicated. Calculating LimitsIn Exercises 7 th...

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)