The following table contains observed frequencies for a sample of 200. Row Variable P Q Column Variable A B 16 40 46 34 30 34 Test for independence of the row and column variables using a = 0.05. State the null and alternative hypotheses. O Ho: Variable P is not independent of variable Q. H₂: Variable P is independent of variable Q. O Ho: The column variable is independent of the row variable. H₂: The column variable is not independent of the row variable. O Ho: The column variable is not independent of the row variable. H₂: The column variable is independent of the row variable. O Ho: Variable P is independent of variable Q. H a: Variable P is not independent of variable Q. 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 Reject Ho. We conclude that the column and row variables are independent. O Do not reject Ho. We cannot conclude that there is an association between the column variable and the row variable. O Do not reject Ho. We cannot conclude that the column and row variables are independent. Reject Ho. We conclude that there is an association between the column variable and the row variable.
The following table contains observed frequencies for a sample of 200. Row Variable P Q Column Variable A B 16 40 46 34 30 34 Test for independence of the row and column variables using a = 0.05. State the null and alternative hypotheses. O Ho: Variable P is not independent of variable Q. H₂: Variable P is independent of variable Q. O Ho: The column variable is independent of the row variable. H₂: The column variable is not independent of the row variable. O Ho: The column variable is not independent of the row variable. H₂: The column variable is independent of the row variable. O Ho: Variable P is independent of variable Q. H a: Variable P is not independent of variable Q. 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 Reject Ho. We conclude that the column and row variables are independent. O Do not reject Ho. We cannot conclude that there is an association between the column variable and the row variable. O Do not reject Ho. We cannot conclude that the column and row variables are independent. Reject Ho. We conclude that there is an association between the column variable and the row variable.
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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Transcribed Image Text:The following table contains observed frequencies for a sample of 200.
Row
Variable
P
Q
Column Variable
A B C
16
40 46
34 30 34
Test for independence of the row and column variables using a = 0.05.
State the null and alternative hypotheses.
O Ho: Variable P is not independent of variable Q.
H: Variable P is independent of variable Q.
O Ho: The column variable is independent of the row variable.
H₂: The column variable is not independent of the row variable.
a
O Ho: The column variable is not independent of the row variable.
H₂: The column variable is independent of the row variable.
O Ho: Variable P is independent of variable Q.
H₂: Variable P is not independent of variable Q.
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 Reject Ho. We conclude that the column and row variables are independent.
O Do not reject Ho. We cannot conclude that there is an association between the column variable and the row variable.
O Do not reject Ho. We cannot conclude that the column and row variables are independent.
O Reject Ho. We conclude that there is an association between the column variable and the row variable.
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