Answered: Given the following data, determine the…

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Given the following data, determine the Chi-Square obtained statistic: a b c d 24 3 17 8

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 14PPS

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Question

Given the following data, determine the Chi-Square obtained statistic:

a	b	c	d
24	3	17	8

Expert Solution

Step 1

$\begin{array}{rcl} T o t a l o f a l l o b s e r v a t i o n s & = & 24 + 3 + 17 + 8 \\ = & 52 \end{array}$

Then,

$O_{i}$	$E_{i}$	$(O_{i} - E_{i})$	$\frac{{(O_{i} - E_{i})}^{2}}{E_{i}}$
24	0.4615	23.53846	1200.462
3	0.0577	2.942308	150.0577
17	0.3269	16.67308	850.3269
8	0.1538	7.846154	400.1538
Total			2601

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