The table to the right contains observed values and expected values in parentheses for two categorical variables, X and Y, where variable X has three categories and variable Y has two categories. Use the table to complete parts (a) and (b) below. Click the icon to view the Chi-Square table of critical values. (a) Compute the value of the chi-square test statistic. x² = (Round to three decimal places as needed.) Y₁ Y₂ X₂ X₂ X3 33 41 51 (34.09) (44.03) (46.88) 15 15 21 (13.91) (17.97) (19.13)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The table to the right contains observed values and expected values in parentheses for two categorical variables, X and Y, where variable X has three categories and variable Y has two categories. Use the table to complete parts (a) and (b) below.
Click the icon to view the Chi-Square table of critical values.
(a) Compute the value of the chi-square test statistic.
x² =
(Round to three decimal places as needed.)
Y₁
Y₂
X₂
X₂ X3
33 41 51
(34.09) (44.03) (46.88)
15
15 21
(13.91) (17.97) (19.13)
Transcribed Image Text:The table to the right contains observed values and expected values in parentheses for two categorical variables, X and Y, where variable X has three categories and variable Y has two categories. Use the table to complete parts (a) and (b) below. Click the icon to view the Chi-Square table of critical values. (a) Compute the value of the chi-square test statistic. x² = (Round to three decimal places as needed.) Y₁ Y₂ X₂ X₂ X3 33 41 51 (34.09) (44.03) (46.88) 15 15 21 (13.91) (17.97) (19.13)
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