Answered: variable and the column variable are…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.7: Applications

Problem 41EQ

See similar textbooks

Related questions

Question

You are conducting a test of the claim that the row variable and the column variable are dependent in the following contingency table.

	X	Y	Z
A	34	8	31
B	38	13	44

Give all answers rounded to 3 places after the decimal point, if necessary.

(a) Enter the expected frequencies below:

	X	Y	Z
A
B

To find the expected frequencies:

Enter the observed matrix into the calculator, per the Technology Corner.
Perform the test, per the Technology Corner.
Return to the matrix menu and view the B matrix. This will be the expected frequencies.

(b) What is the chi-square test-statistic for this data?
Test Statistic: χ2=

(c) What is the critical value for this test of independence when using a significance level of α = 0.10?
Critical Value: χ2= (Enter 4.605 as the answer to this question.)

(d) What is the correct conclusion of this hypothesis test at the 0.10 significance level?

There is sufficient evidence to warrant rejection of the claim that the row and column variables are dependent.
There is not sufficient evidence to support the claim that the row and column variables are dependent.
There is sufficient evidence to support the claim that the row and column variables are dependent.
There is not sufficient evidence to warrant rejection of the claim that the row and column variables are dependent.

Expert Solution

Step by step

Solved in 5 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Chi-squared Tests$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Recommended textbooks for you

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning