Chapter 15, Problem 6P

BuyFind*arrow_forward*

8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

Suppose that the researcher from the previous problem repealed the study of named couples’ initials using twice as many participants and obtaining observed frequencies that exactly double the original values.

The resulting data are as follows:

Same Initial | Different Initials | |

18 | 362 | 400 |

- a. Use a chi-square test to determine whether the number of couples with the same last initial is significantly different than would be expected if couples were Hatched randomly. Test with α = .05.
- b. You should find that the data lead lo rejecting the null hypothesis. However, in problem 5 the decision was fail to reject. How do you explain the fact that the two samples have the same proportions but lead to different conclusions?

**a.**

To determine

Whether the couple with same initials is significantly different than would be expected if couples were matched randomly.
( α = 0.05 )

Explanation

**Calculation:**

The hypotheses are given below:

*Null hypothesis:*

*Alternative hypothesis:*

Use

For this problem, the degree of freedom is

For

**b.**

To determine

The Sample with same proportion but lead to different conclusions.

Understanding Basic Statistics

Probability and Statistics for Engineering and the Sciences

Essentials Of Statistics

Statistics for The Behavioral Sciences (MindTap Course List)

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

Finite Mathematics

Finite Mathematics for the Managerial, Life, and Social Sciences

Calculus: An Applied Approach (MindTap Course List)

Calculus (MindTap Course List)

Single Variable Calculus: Early Transcendentals, Volume I

Single Variable Calculus

Applied Calculus

Trigonometry (MindTap Course List)

Multivariable Calculus

Contemporary Mathematics for Business & Consumers

Precalculus: Mathematics for Calculus (Standalone Book)

Elementary Geometry For College Students, 7e

Single Variable Calculus: Early Transcendentals

Calculus: Early Transcendentals

Finite Mathematics and Applied Calculus (MindTap Course List)

Mathematical Applications for the Management, Life, and Social Sciences

Calculus (MindTap Course List)

Intermediate Algebra

Elementary Technical Mathematics

Mathematical Excursions (MindTap Course List)

Calculus: Early Transcendental Functions (MindTap Course List)

Elements Of Modern Algebra

Calculus of a Single Variable

Calculus: Early Transcendental Functions

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

Introduction To Statistics And Data Analysis

Elementary Geometry for College Students

Study Guide for Stewart's Multivariable Calculus, 8th

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