The table to the right contains observed values and expected values in parentheses for tw two categories. Use the table to complete parts (a) and (b) below. OB. H,: The Y category and X category have equal proportions. H,: The proportions are not equal. OC. Ho: The Y category and X category are dependent. H,: The Y category and X category are independent. OD. Ho: -E, and y =E, H,: H E, or H, E, %3D 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.
The table to the right contains observed values and expected values in parentheses for tw two categories. Use the table to complete parts (a) and (b) below. OB. H,: The Y category and X category have equal proportions. H,: The proportions are not equal. OC. Ho: The Y category and X category are dependent. H,: The Y category and X category are independent. OD. Ho: -E, and y =E, H,: H E, or H, E, %3D 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.
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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![The table 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.
Categories:
- Variable X:
- \( X_1, X_2, X_3 \)
- Variable Y:
- \( Y_1, Y_2 \)
Observed and Expected Values:
\[
\begin{array}{c|c|c|c}
& X_1 & X_2 & X_3 \\
\hline
Y_1 & 32\ (35.39) & 44\ (44.42) & 51\ (47.19) \\
Y_2 & 19\ (15.61) & 20\ (19.58) & 17\ (20.81) \\
\end{array}
\]
Hypotheses:
- Option B:
- \( H_0 \): The Y category and X category have equal proportions.
- \( H_1 \): The proportions are not equal.
- Option C:
- \( H_0 \): The Y category and X category are dependent.
- \( H_1 \): The Y category and X category are independent.
- Option D:
- \( H_0 \): \(\mu_x = E_x\) and \(\mu_y = E_y\)
- \( H_1 \): \(\mu_x \neq E_x\) or \(\mu_y \neq E_y\)
Question:
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2bcd9420-2e71-4537-86fb-91c5a0e6047d%2Fda45ce74-a0c6-4202-9021-c0d45a1fa4fb%2Fy7gi4o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The table 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.
Categories:
- Variable X:
- \( X_1, X_2, X_3 \)
- Variable Y:
- \( Y_1, Y_2 \)
Observed and Expected Values:
\[
\begin{array}{c|c|c|c}
& X_1 & X_2 & X_3 \\
\hline
Y_1 & 32\ (35.39) & 44\ (44.42) & 51\ (47.19) \\
Y_2 & 19\ (15.61) & 20\ (19.58) & 17\ (20.81) \\
\end{array}
\]
Hypotheses:
- Option B:
- \( H_0 \): The Y category and X category have equal proportions.
- \( H_1 \): The proportions are not equal.
- Option C:
- \( H_0 \): The Y category and X category are dependent.
- \( H_1 \): The Y category and X category are independent.
- Option D:
- \( H_0 \): \(\mu_x = E_x\) and \(\mu_y = E_y\)
- \( H_1 \): \(\mu_x \neq E_x\) or \(\mu_y \neq E_y\)
Question:
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.
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