BuyFindarrow_forward

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

Solutions

Chapter
Section
BuyFindarrow_forward

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

A recent study indicates that people tend to select video game avatars with characteristics similar to those of their creators (Bélisle & Onur, 2010). Participants who had created avatars for a virtual community game completed a questionnaire about their personalities. An independent group of viewers examined the avatars and recorded their impressions of the avatars. One personality characteristic considered was introverted/ extroverted. The following table shows frequency distribution of personalities for participants and the avatars they created.

images

  1. a. Is there a significant relationship between the personalities of the participants and the personalities of their avatars? Test with α = 05.
  2. b. Compute the phi-coefficient to measure the size of the effect

a.

To determine

To check: Whether there is significant relationship between the personalities of the participants and the personalities of their avatars for the given question.

Explanation

Given info:

A sample of 100 students was involved in a study based on “the personalities for participants and their avatars”. Use α=0.05 to test the claim.

Calculations:

Step 1: Null Hypothesis and Alternate Hypothesis are:

H0: No significant relationship between the personalities of the participants and the personalities of their avatars.

H1: Significant relationship between the personalities of the participants and the personalities of their avatars

Step 2: For the given sample, degrees of freedom equals:

df=(R1)(C1)  where R equals number of rows and C equals columns=(21)(21)=1

With α=0.05 and df=1 , the critical value (CV)  is obtained from the χ2table as

χ2=3.841

Step 3: χ2statistics is calculated as:

χ2=(fofe)2fe

The formula to calculate expected frequency is:

fe=fcfrnwhere fr is row frequency and fc is column frequency

Substitute n=200 in the above formula and compute respective values of expected frequencies:

For the category “introverted avatar”, the expected frequencies are:

fe,introvert=38×45

b.

To determine

To Find: The value of phi-coefficient for the given question.

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 Solutions

Find more solutions based on key concepts

Show solutions add

Politics Political scientists have discovered the following empirical rule, known as the cube rule, which gives...

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

Given: AEBDEC AEDE Prove: AEBDEC

Elementary Geometry for College Students

In Exercises 110, find the graphical solution of each inequality. 4x3y24

Finite Mathematics for the Managerial, Life, and Social Sciences

True or False: The vector function is continuous at t = 3.

Study Guide for Stewart's Multivariable Calculus, 8th

True or False: If f(x) = g(x) for all x then f(x) = g(x).

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

Summarize the major APA ethical standards concerning the care and use of animals in research.

Research Methods for the Behavioral Sciences (MindTap Course List)