You are conducting a test of the claim that the row variables and the column variables are dependent inthe following contingency table. First you need to calculate the sums of the rows and columns. Thencalculate the expected frequencies.Complete the observed value table with the totalsYTotalsA352970353069TotalsGive all answers rounded to 3 places after the decimal point, if necessary.Expected Frequencies (row i and column j)(Total,) (Total,).ETotalEnter the expected frequencies below:YZB

Answered: You are conducting a test of the claim…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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You are conducting a test of the claim that the row variables and the column variables are dependent in
the following contingency table. First you need to calculate the sums of the rows and columns. Then
calculate the expected frequencies.
Complete the observed value table with the totals
Y
Totals
A
35
29
70
35
30
69
Totals
Give all answers rounded to 3 places after the decimal point, if necessary.
Expected Frequencies (row i and column j)
(Total,) (Total,).
E
Total
Enter the expected frequencies below:
Y
Z
B

Expert Solution

Step 1

To determine whether the two variables are independent or not, the chi-square test of independence needs to be conducted.

In this test, the null hypothesis for the test states that the two variables are independent. Assuming the null hypothesis true, the expected frequencies for each category/cell of contingency table is calculated by using the formula, $E_{i, j} = \frac{(T o t a l f r e q u e n c y f o r r o w i) (T o t a l f r e q u e n c y f o r c o l u m n j)}{S a m p l e s i z e}$ .