In exercise 8.63, you analyzed the fata from a study that included 354 higher education institutions: 225 private and 129 public, Among the private institutions, 60 required a physical education course, while among the public institutions, 101 required a course.  The two way table for this problem is posted below; how would prove that the chi-square statistic is the same as the z-statistic

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 66E
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9.16 In exercise 8.63, you analyzed the fata from a study that included 354 higher education institutions: 225 private and 129 public, Among the private institutions, 60 required a physical education course, while among the public institutions, 101 required a course. 

The two way table for this problem is posted below; how would prove that the chi-square statistic is the same as the z-statistic? 

Physical education course required Physical education course not required Total
225-60-165
225
129-101-28
129
165+28-193
354
Public 60
Private 101
Total 161
Transcribed Image Text:Physical education course required Physical education course not required Total 225-60-165 225 129-101-28 129 165+28-193 354 Public 60 Private 101 Total 161
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