You may need to use the appropriate technology to answer this question. The following table contains observed frequencies for a sample of 200. Row Variable Column Variable A B C P 22 46 52 Q 28 24 28 Test for independence of the row and column variables using ? = 0.05. State the null and alternative hypotheses. H0: Variable P is not independent of variable Q. Ha: Variable P is independent of variable Q.H0: The column variable is independent of the row variable. Ha: The column variable is not independent of the row variable. H0: The column variable is not independent of the row variable. Ha: The column variable is independent of the row variable.H0: Variable P is independent of variable Q. Ha: 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. Reject H0. We conclude that there is an association between the column variable and the row variable.Do not reject H0. We cannot conclude that the column and row variables are independent. Do not reject H0. We cannot conclude that there is an association between the column variable and the row variable.Reject H0. 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

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You may need to use the appropriate technology to answer this question.

The following table contains observed frequencies for a sample of 200.

Row Variable	Column Variable
A	B	C
P	22	46	52
Q	28	24	28

Test for independence of the row and column variables using

? = 0.05.

State the null and alternative hypotheses.

H₀: Variable P is not independent of variable Q.
H_a: Variable P is independent of variable Q.H₀: The column variable is independent of the row variable.
H_a: The column variable is not independent of the row variable. H₀: The column variable is not independent of the row variable.
H_a: The column variable is independent of the row variable.H₀: 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.

Reject H₀. We conclude that there is an association between the column variable and the row variable.Do not reject H₀. We cannot conclude that the column and row variables are independent. Do not reject H₀. We cannot conclude that there is an association between the column variable and the row variable.Reject H₀. We conclude that the column and row variables are independent.

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