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

Suppose that the researcher from the previous problem repealed the study of named couples’ initials using twice as many participants and obtaining observed frequencies that exactly double the original values.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
  1. 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.
  2. 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:

H0: Represents null hypothesis saying the couple with same initials is no where significantly different than would be expected if couples were randomly matched.

Alternative hypothesis:

H1: In the sample from population, there is significant difference between couples chosen.

Use α=0.05

For this problem, the degree of freedom is

df=C1=21=1

For df=1 and α=0.05, we have critical value of 3.84

b.

To determine
The Sample with same proportion but lead to different conclusions.

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

83-94 Evaluate the integral. ex(4+ex)5dx

Calculus (MindTap Course List)

Solve the equations in Exercises 126. x44x2=4

Finite Mathematics and Applied Calculus (MindTap Course List)

In problems 23-58, perform the indicated operations and simplify. 34.

Mathematical Applications for the Management, Life, and Social Sciences

Toxic Waste A citys main well was recently found to be contaminated with trichloroethylene, a cancer-causing ch...

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

Evaluate ∫16t3 ln t dt. 4t4 + C 4t3 ln t − 16t3 + C 4t4 − t3 ln t + C 4t4 ln t − t4 + C

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