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, 32 42 (33.48) (43.73 Y2 17 22 (15.52)(20.27 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 Ho. There is sufficient evidence at the a = 0.1 level of significance to conclude that X and Y are dependent because the P-value < O B. No, do not reject Ho. There is not sufficient evidence at the a =0.1 level of significance to conclude that X and Y are dependent because the P-value O C. Yes, reject Ho. There is not sufficient evidence at the a = 0.1 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 = 0.1 level of significance to conclude that X and Y are dependent because 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. X, 32 42 (33.48) (43.73 Y2 17 22 (15.52)(20.27 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 Ho. There is sufficient evidence at the a = 0.1 level of significance to conclude that X and Y are dependent because the P-value < O B. No, do not reject Ho. There is not sufficient evidence at the a =0.1 level of significance to conclude that X and Y are dependent because the P-value O C. Yes, reject Ho. There is not sufficient evidence at the a = 0.1 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 = 0.1 level of significance to conclude that X and Y are dependent because the P-value
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A) compute the value of the chi- square test statistic. Round to three decimal places as needed.
B)

Transcribed Image Text:Question Help ▼
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.
X1
X2
X3 2
Y.
32
42
49
(33.48)(43.73)(45.78)
17
22
18
Y2
(15.52)(20.27)(21.22)
(b) Test the hypothesis that X and Y are independent at the a = 0.1 level of significance.
ay
O A. Ho: The Y category and X category have equal proportions.
H, The proportions are not equal.
O B. H, The Y category and X category are dependent.
H, The Y category and X category are independent
O C. Ho: The Y category and X category are independent.
H, The Y category and X category are dependent.
O D. Ho Hx Ex and Hy = Ey
H,i Hx # Ex or Hy #Ey

Transcribed Image Text:Question Help ▼
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.
X2
X3
42
(33.48)(43.73)(45.78)
32
49
Y1
17
22
18
Y2
(15.52)(20.27)(21.22)
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 H,. There is sufficient evidence at the a = 0.1 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 not sufficient evidence at the = 0.1 level of significance to conclude that X and Y are dependent because the P-value>a.
O C. Yes, reject Ho There is not sufficient evidence at the a = 0.1 level of significance to conclude that X and Y are dependent because the P-value > a.
O D. Yes, reject Hn. There is not sufficient evidence at the a= 0.1 level of significance to conclude that X and Y are dependent because the P-value < oa.
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