categories and variable Y has two categories. Use the table to complete parts (a) and (b) below. 53 30 (31.93)(46.83)(48.25) 15 |(13.07)(19.17)(19.75) 44 Y, 22 15 (a) Compute the value of the chi-square test statistic. xổ = (Round to three decimal places as needed.) (b) Test the hypothesis that X and Y are independent at the a = 0.01 level of significance. O A. Ho: H = Ex and Hy = E, H,: H #E, or Hy E, O B. Ho: The Y category and X category are independent. H,: The Y category and X category are dependent. O C. Ho: The Y category and X category are dependent. H,: The Y category and X category are independent. O D. H,: The Y category and X category have equal proportions. H,: The proportions are not equal. What is the P-value? P-value = (Round to three decimal places as needed.)

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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What is the P-value?
P-value =
(Round to three decimal places as needed.)
Should the null hypothesis be rejected?
O A. No, do not reject Hn. There is sufficient evidence at the a = 0.01 level of significance to conclude that X and Y are dependent because the P-value < a.
O B. Yes, reject Ho. There is not sufficient evidence at the a= 0.01 level of significance to conclude that X and Y are dependent because the P-value > a.
O C. No, do not reject Hn. There is not sufficient evidence at the a = 0.01 level of significance to conclude that X and Y are dependent because the P-value > a.
O D. Yes, reject Ho. There is not sufficient evidence at the a= 0.01 level of significance to conclude that X and Y are dependent because the P-value < a.
Transcribed Image Text:What is the P-value? P-value = (Round to three decimal places as needed.) Should the null hypothesis be rejected? O A. No, do not reject Hn. There is sufficient evidence at the a = 0.01 level of significance to conclude that X and Y are dependent because the P-value < a. O B. Yes, reject Ho. There is not sufficient evidence at the a= 0.01 level of significance to conclude that X and Y are dependent because the P-value > a. O C. No, do not reject Hn. There is not sufficient evidence at the a = 0.01 level of significance to conclude that X and Y are dependent because the P-value > a. O D. Yes, reject Ho. There is not sufficient evidence at the a= 0.01 level of significance to conclude that X and Y are dependent because the P-value < a.
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.
X,
X2
44
(31.93)46.83)(48.25)
22
(13.07)(19.17)(19.75)
30
53
15
15
Y2
....
(a) Compute the value of the chi-square test statistic.
X6 = (Round to three decimal places as needed.)
(b) Test the hypothesis that X and Y are independent at the a = 0.01 level of significance.
O A. Ho: H = E,x and Hy = E,
H,: H E, or Hy #E,
O B. H,: The Y category and X category are independent.
H,: The Y category and X category are dependent.
O C. Ho: The Y category and X category are dependent.
H,: The Y category and X category are independent.
O D. H,: The Y category and X category have equal proportions.
H,: The proportions are not equal.
What is the P-value?
P-value =
(Round to three decimal places as needed.)
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. X, X2 44 (31.93)46.83)(48.25) 22 (13.07)(19.17)(19.75) 30 53 15 15 Y2 .... (a) Compute the value of the chi-square test statistic. X6 = (Round to three decimal places as needed.) (b) Test the hypothesis that X and Y are independent at the a = 0.01 level of significance. O A. Ho: H = E,x and Hy = E, H,: H E, or Hy #E, O B. H,: The Y category and X category are independent. H,: The Y category and X category are dependent. O C. Ho: The Y category and X category are dependent. H,: The Y category and X category are independent. O D. H,: The Y category and X category have equal proportions. H,: The proportions are not equal. What is the P-value? P-value = (Round to three decimal places as needed.)
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