Answered: Round your answer for the excepted…

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

Find the expected count and the contribution to the chi-square statistic for the (Group 1, Yes) cell in the two-way table below.

	Yes	No
Group 1	710	277
Group 2	1175	323

Round your answer for the excepted count to one decimal place, and your answer for the contribution to the chi-square statistic to three decimal places.

Expected count=______________

contribution to the chi-square statistic=_______________

I previously asked this question and the chi-square statistic was incorrect. I was previously given the answers EC: 748.7 (correct) and Chi-square: 1136.3 (incorrect)

Expert Solution

Step 1

Two way contingency table is:

	Yes	No
Group 1	710	277
Group 2	1175	323

Expected value can be calculated as:

$e_{i j} = \frac{(R o w s u m) \times (C o l u m n S u m)}{T o t a l f r e q u e n c y}$

	Yes	No	Row sum
Group 1	710	277	987
Group 2	1175	323	1498
Column sum	1885	600	2485

Table for expected frequencies is:

e₁₁=(1885)(987)/2485

e₁₁=748.6901

e₁₂=(600)(987)/2485

e₁₂=238.3099

e₂₁=(1885)(1498)/2485

e₂₁=1136.3099

e₂₂=(600)(1498)/2485

e₂₂=361.6901

Expected count and the contribution to the chi-square statistic for the (Group 1, Yes) is 748.6901≈748.7

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