You are conducting a test of independenc for the claim that there is an association between the row variable and the columr variable. XY A8 48 31 z A x| B 18 56 23 The expected observations for this table would be X Y A В

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What is the chi-square test-statistic for this
data?
x²
Report all answers accurate to three
decimal places.
Transcribed Image Text:What is the chi-square test-statistic for this data? x² Report all answers accurate to three decimal places.
You are conducting a test of independence
for the claim that there is an association
between the row variable and the column
variable.
x Y Z
A 8
48 31
B 18 56 23
The expected observations for this table
would be
Y
А
В
Transcribed Image Text:You are conducting a test of independence for the claim that there is an association between the row variable and the column variable. x Y Z A 8 48 31 B 18 56 23 The expected observations for this table would be Y А В
Expert Solution
Given information

The following table is given in the question:

  X Y Z Row total
A 8 48 31 87
B 18 56 23 97
Column total  26 104 54 Grand total =184

The formula for calculating expected observations is as follows:

E=(Row total)×(Column total)Grand total     1

The formula for calculating chi-square test-statistic is as follows:

χ2=iOi-Ei2Ei      2

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