The following table contains observed frequencies for a sample of 200. Column Variable Row Variable A BC 22 46 52 28 24 28 Test for independence of the row and column variables using a = 0.05. State the null and alternative hypotheses. O Ho: Variable P is independent of variable Q. H: Variable P is not independent of variable Q. O Ho: The column variable is independent of the row variable. H: The column variable is not independent of the row variable. O Ho: Variab P is not independent of Q. Variable P is independent of variable Q. O Ho: The column variable is not independent of the row variable. H: The column variable is independent of the row variable. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Do not reject Ho. We cannot conclude that there is an association between the column variable and the row variable. Reject Ho. We conclude that there is an association between the column variable and the row variable. Do not reject Ho. We cannot conclude that the column and row variables are independent. O Reject Ho. We conclude that the column and row variables are independent.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%
The following table contains observed frequencies for a sample of 200.
Column Variable
Row
Variable
A
B
C
22 46
28 24 28
P
52
Test for independence of the row and column variables using a = 0.05.
State the null and alternative hypotheses.
Ho: Variable P is independent of variable Q.
H: Variable P is not independent of variable Q.
Ho: The column variable is independent of the row variable.
: The column variable is not independent of the row variable.
Ho: Variable P is not independent of variable Q.
H: Variable P is independent of variable Q.
Ho: The column variable is not independent of the row variable.
H: The column variable is independent of the row variable.
a'
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value
State your conclusion.
Do not reject Ho. We cannot conclude that there is an association between the column variable and the row variable.
Reject Ho. We conclude that there is an association between the column variable and the row variable.
Do not reject Ho. We cannot conclude that the column and row variables are independent.
Reject Ho. We conclude that the column and row variables are independent.
Transcribed Image Text:The following table contains observed frequencies for a sample of 200. Column Variable Row Variable A B C 22 46 28 24 28 P 52 Test for independence of the row and column variables using a = 0.05. State the null and alternative hypotheses. Ho: Variable P is independent of variable Q. H: Variable P is not independent of variable Q. Ho: The column variable is independent of the row variable. : The column variable is not independent of the row variable. Ho: Variable P is not independent of variable Q. H: Variable P is independent of variable Q. Ho: The column variable is not independent of the row variable. H: The column variable is independent of the row variable. a' Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value State your conclusion. Do not reject Ho. We cannot conclude that there is an association between the column variable and the row variable. Reject Ho. We conclude that there is an association between the column variable and the row variable. Do not reject Ho. We cannot conclude that the column and row variables are independent. Reject Ho. We conclude that the column and row variables are independent.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Knowledge Booster
Chi-squared Tests
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman