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

S O C At a large urban college, about half of the students live off campus in various arrangements, and the other half live on campus. Is academic performance dependent on living arrangements? Write a sentence or two explaining your findings, including the results of the chi square test and pattern of column percentages. GPA Residential Status Off Campus with Roommates Off Campus with Parents On Campus Totals Low 22 20 48 90 Moderate 36 40 54 130 High Totals 32 90 10 70 38 140 80 300

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 10.11P
Textbook Problem
15 views

S O C At a large urban college, about half of the students live off campus in various arrangements, and the other half live on campus. Is academic performance dependent on living arrangements? Write a sentence or two explaining your findings, including the results of the chi square test and pattern of column percentages.

GPA Residential Status
Off Campus with Roommates Off Campus with Parents On Campus Totals
Low 22 20 48 90
Moderate 36 40 54 130
High
Totals
32 90 10 70 38 140 80 300

To determine

To find:

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

Explanation of Solution

Given:

The given statement is,

The necessary information has been collected from a random sample of 100 respondents drawn from a local community.

The given table of information is,

GPA Residential Status
Off Campus with Roommates Off Campus with Parents On Campus Totals
Low 22 20 48 90
Moderate 36 40 54 130
High 32 10 38 80
Totals 90 70 140 300

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 90 for row marginal, 90 for column marginal and 300 for N in equation (1).

f1=90×90300=27

Substitute 90 for row marginal, 70 for column marginal and 300 for N in equation (1).

f2=90×70300=21

Substitute 90 for row marginal, 38 for column marginal and 300 for N in equation (1).

f3=90×140300=42

Substitute 130 for row marginal, 90 for column marginal and 300 for N in equation (1).

f4=130×90300=39

Substitute 130 for row marginal, 70 for column marginal and 300 for N in equation (1).

f5=130×70300=30.33

Substitute 130 for row marginal, 140 for column marginal and 300 for N in equation (1).

f6=130×140300=60.67

Substitute 80 for row marginal, 90 for column marginal and 300 for N in equation (1).

f7=80×90300=24

Substitute 80 for row marginal, 70 for column marginal and 300 for N in equation (1).

f8=80×70300=18.67

Substitute 80 for row marginal, 140 for column marginal and 300 for N in equation (1).

f9=80×140300=37.33

Consider the following table,

fo fe fofe (fofe)2 (fofe)2/fe
22 27 5 25 0

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
Prove the statement using the , definition of a limit. limx4x22x8x4=6

Single Variable Calculus: Early Transcendentals, Volume I

Let f and g be functions, and suppose that (x, y) is a point on the graph of h. What is the value of y for h = ...

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

The linearization of f(x)=1x at x = 4 is: a) L(x)=12+1x(x2) b) L(x)=14+12(x2) c) L(x)=12+12(x4) d) L(x)=12116(x...

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

Explain the difference between passive and active deception.

Research Methods for the Behavioral Sciences (MindTap Course List)

Unnecessary Medical Care. According to Reader’s Digest, 42% of primary care doctors think their patients receiv...

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

In Problems 1732 use the procedures developed in this chapter to find the general solution of each differential...

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

ReminderRound all answers to two decimal places unless otherwise indicated. Falling with a parachuteWhen an ave...

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