Assuming there is a relationship, what is the strength of this relationship, using the PHI formula ?Political ViewsClass StandingFreshman and SophomoreClass StandingJunior and SeniorTotalsLiberal404383Moderate5050100Conservative444084Totals134133267

Name: Assuming there is a relationship, what is the strength of this relatio
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Description: Assuming there is a relationship, what is the strength of this relationship, using the PHI formula ?Political ViewsClass StandingFreshman and SophomoreClass StandingJunior and SeniorTotalsLiberal404383Moderate5050100Conservative444084Totals134133267

Given: The table is shown as, Political Views Class Standing Freshman and Sophomore Class…

Answered: Assuming there is a relationship, what…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Assuming there is a relationship, what is the strength of this relationship, using the PHI formula ?

Political Views	Class Standing Freshman and Sophomore	Class Standing Junior and Senior	Totals
Liberal	40	43	83
Moderate	50	50	100
Conservative	44	40	84
Totals	134	133	267

Expert Solution

Step 1

Given:

The table is shown as,

Political Views	Class Standing Freshman and Sophomore	Class Standing Junior and Senior	Totals
Liberal	40	43	83
Moderate	50	50	100
Conservative	44	40	84
Totals	134	133	267

Step 2

The calculation as follows,

Observed Frequencies
	Freshman and Sophomore	Junior and Senior	Total
Liberal	40	43	83
Moderate	50	50	100
Conservative	44	40	84
Total	134	133	267
Expected Frequencies
	Freshman and Sophomore	Junior and Senior	Total
Liberal	134 * 83 / 267 = 41.6554	133 * 83 / 267 = 41.3446	83
Moderate	134 * 100 / 267 = 50.1873	133 * 100 / 267 = 49.8127	100
Conservative	134 * 84 / 267 = 42.1573	133 * 84 / 267 = 41.8427	84
Total	134	133	267
	(fo-fe)²/fe
Liberal	(40 - 41.6554)²/41.6554 = 0.0658	(43 - 41.3446)²/41.3446 = 0.0663
Moderate	(50 - 50.1873)²/50.1873 = 0.0007	(50 - 49.8127)²/49.8127 = 0.0007
Conservative	(44 - 42.1573)²/42.1573 = 0.0805	(40 - 41.8427)²/41.8427 = 0.0811

Step 3

The Null and Alternative hypothesis as follows,

Ho: Factors are independent.

H1: Factor are dependent.

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