(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 = 0.05 level of significance. O A. Ho: The Y category and X category are dependent. H4: The Y category and X category are independent. B. Ho: The Y category and X category are independent. H,: The Y category and X category are dependent. O C. Ho: Hy = E, and Hy = Ey %3D H,: Hx # Ex or Hy #E, O D. Ho: The Y category and X category have equal proportions. H,: The proportions are not equal. What range of P-values does the test statistic correspond to? The P-value is Should the null hypothesis be rejected? O A. Yes, reject Ho. There is not sufficient evidence at the a = 0.05 level of significance to conclude that X and Y are dependent because the P-value < a. O B. No, do not reject Ho. There is sufficient evidence at the a = 0.05 level of significance to conclude that X and Y are dependent because the P-value < a. O c. No, do not reject Ho. There is not sufficient evidence at the a = 0.05 level of significance to conclude that X and Y are dependent because the P-value > a.
(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 = 0.05 level of significance. O A. Ho: The Y category and X category are dependent. H4: The Y category and X category are independent. B. Ho: The Y category and X category are independent. H,: The Y category and X category are dependent. O C. Ho: Hy = E, and Hy = Ey %3D H,: Hx # Ex or Hy #E, O D. Ho: The Y category and X category have equal proportions. H,: The proportions are not equal. What range of P-values does the test statistic correspond to? The P-value is Should the null hypothesis be rejected? O A. Yes, reject Ho. There is not sufficient evidence at the a = 0.05 level of significance to conclude that X and Y are dependent because the P-value < a. O B. No, do not reject Ho. There is sufficient evidence at the a = 0.05 level of significance to conclude that X and Y are dependent because the P-value < a. O c. No, do not reject Ho. There is not sufficient evidence at the a = 0.05 level of significance to conclude that X and Y are dependent because the P-value > a.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:X2
X3
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.
30
41
45
(30.89) (41.87)(43.24)
15
20
18
Y2
(14.11)(19.13)(19.76)
Click the icon to view the Chi-Square table of critical values.
(a) Compute the value of the chi-square test statistic.
X6 =| (Round to three decimal places as needed.)
%D
(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 are dependent.
H,: The Y category and X category are independent.
O B. Ho: The Y category and X category are independent.
H,: The Y category and X category are dependent.
C. Ho: Hx = Ex and Hy = Ey
H4: Hy #Ex or Hy # Ey
D. Ho: The Y category and X category have equal proportions.
H,: The proportions are not equal.
What range of P-values does the test statistic correspond to?
The P-value is
Should the null hypothesis be rejected?
O A. Yes, reject Ho. There is not sufficient evidence at the a = 0.05 level of significance to conclude that X and Y are
dependent because the P-value < a.
O B. No, do not reject Ho. There is sufficient evidence at the a = 0.05 level of significance to conclude that X and Y are
dependent because the P-value < a.
O C. No, do not reject Ho. There is not sufficient evidence at the a =0.05 level of significance to conclude that X and Y
are dependent because the P-value > a.
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