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

P S Is there a relationship between college class standing and political orientation? Are juniors and seniors significantly different from freshmen and sophomores on this variable? The following table reports the relationship between these two variables for a random sample of 267 college students. Summarize your findings in a sentence or two, including the results of the chi square test and the pattern of column percentages. Which group is more likely to be liberal? Which group is more likely to be conservative? Political Views Class Standing Freshmen and Sophomore Junior and Senior Totals Liberal 40 43 83 Moderate 50 50 100 Conservative Totals 44 134 40 133 84 267

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 10.10P
Textbook Problem
60 views

P S Is there a relationship between college class standing and political orientation? Are juniors and seniors significantly different from freshmen and sophomores on this variable? The following table reports the relationship between these two variables for a random sample of 267 college students. Summarize your findings in a sentence or two, including the results of the chi square test and the pattern of column percentages. Which group is more likely to be liberal? Which group is more likely to be conservative?

Political
Views
Class Standing
Freshmen and Sophomore Junior and Senior Totals
Liberal 40 43 83
Moderate 50 50 100
Conservative
Totals
44 134 40 133 84 267

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 following table reports the relationship between these two variables for a random sample of 267 college students.

The given table of information is,

Political views Class Standing Totals
Freshmen and Sophomore Juniors and seniors
Liberal 40 43 83
Moderate 50 50 100
Conservative 44 40 84
Totals 134 133 267

Steps:

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 83 for row marginal, 134 for column marginal and 267 for N in equation (1).

f1=83×134267=41.66

Substitute 83 for row marginal, 133 for column marginal and 267 for N in equation (1).

f2=83×133267=41.34

Substitute 100 for row marginal, 134 for column marginal and 267 for N in equation (1).

f3=100×134267=50.19

Substitute 100 for row marginal, 133 for column marginal and 267 for N in equation (1).

f4=100×133267=49.81

Substitute 84 for row marginal, 134 for column marginal and 267 for N in equation (1).

f5=84×134267=42.16

Substitute 84 for row marginal, 133 for column marginal and 267 for N in equation (1).

f6=84×133267=41.84

Consider the following table,

fo fe fofe (fofe)2 (fofe)2/fe
40 41.66 1.66 2.76 0.066
43 41.34 1.66 2.76 0.067
50 50.19 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
For the following set of stores, find the value of each expression: a. X b. (X) c. (X 3) d. (X 3) X 4 5 2 1 3

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

Find the limit. limx3x29x2+2x3

Single Variable Calculus: Early Transcendentals, Volume I

In Exercises 6372, evaluate the expression. 66. |0.21.41.62.4|

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

Evaluate without using a calculator. sin1(sin300)

Trigonometry (MindTap Course List)

Given: m3=7x21 m4=3x+7 Find: mFMH

Elementary Geometry For College Students, 7e

In Problem 31-38, write the equation of each line described. 36. Through and parallel to

Mathematical Applications for the Management, Life, and Social Sciences

In Exercises 29-36, determine whether the compound propositions are logically equivalent. pq;pq

Finite Mathematics for the Managerial, Life, and Social Sciences

The slope of the tangent line to r = cos θ at is:

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

Describe the characteristics of a good hypothesis and identify examples of good and bad hypotheses.

Research Methods for the Behavioral Sciences (MindTap Course List)

20. Junior Achievement USA and the Allstate Foundation surveyed teenagers aged 14 to 18 and asked at what age t...

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

Finding Limiting Values In Exercises S-11 through S-24, use a table of values to estimate the limiting value. I...

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

y + 4y = f(t), y(0) = 0, y(0) = 1, where f(t)={1,0t10,t1

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