The table to the right contains observed values and expected values table to complete parts (a) and (b) below. Question Help parentheses for two categorical variables, X and Y, where variable X has three categories and variable Y has two categories. Use the X, X, 41 48 (33.40)(43.62)(44.98) 16 23 Y, 33 18 (15.60)(20.38)(21.02) Y2 (a) Compute the value of the chi-square test statistic. X = 1.144 (Round to three decimal places as needed.) (b) Test the hypothesis that X and Y are independent at the a = 0.05 level of significance. O A. Ho: The Y category and X category have equal proportions. H,: The proportions are not equal. O B. Ho: Hx =E, and Hy =Ey H,: H E, or Hy # Ey O C. Ho: The Y category and X category are dependent. H,: The Y category and X category are independent. YD. Ho: The Y category and X category are independent. H,: The Y category and X category are dependent. What is the P-value? P-value = (Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer. Check Answer Clear All part remaining MocRook Air

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what is the p value
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.
Question Heip
X,
X2
X3
Y.
33
41
48
(33.40)(43.62)(44.98)
Y2
16
6 23 18
(a) Compute the value of the chi-square test statistic.
(15.60)(20.38)(21.02)
X = 1.144 (Round to three decimal places as needed.)
(b) Test the hypothesis that X and Y are independent at the a = 0.05 level of significance.
O A. Ho: The Y category and X category have equal proportions.
H,: The proportions are not equal.
O B. Ho: Hy = E, and Hy =Ey
H,: Hx # Ex or Hy # E,
O C. Ho: The Y category and X category are dependent.
H,: The Y category and X category are independent.
YD. Ho: The Y category and X category are independent.
H,: The Y category and X category are dependent.
What is the P-value?
P-value =
(Round to three decimal places as needed.)
Enter your answer in the answer box and then click Check Answer.
Check Answer
Clear All
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remaining
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24
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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. Question Heip X, X2 X3 Y. 33 41 48 (33.40)(43.62)(44.98) Y2 16 6 23 18 (a) Compute the value of the chi-square test statistic. (15.60)(20.38)(21.02) X = 1.144 (Round to three decimal places as needed.) (b) Test the hypothesis that X and Y are independent at the a = 0.05 level of significance. O A. Ho: The Y category and X category have equal proportions. H,: The proportions are not equal. O B. Ho: Hy = E, and Hy =Ey H,: Hx # Ex or Hy # E, O C. Ho: The Y category and X category are dependent. H,: The Y category and X category are independent. YD. Ho: The Y category and X category are independent. H,: The Y category and X category are dependent. What is the P-value? P-value = (Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer. Check Answer Clear All 1 part remaining MacBook Air DII 110 888 80 FS F3 esc &. 24 4 5 1 2 Y E R Q W K F G S
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