The following table contains observed frequencies for a sample of 240. Row Variable Column Variable A B C P 20 30 20 Q 30 60 25 R 10 15 30 Test for independence of the row and column variables using ? = 0.05. 1) State the null and alternative hypotheses: A) H0: The column variable is independent of the row variable. Ha: The column variable is not independent of the row variable. B) H0: Variable P is not independent of variables Q and R. Ha: Variable P is independent of variables Q and R. C) H0: The column variable is not independent of the row variable. Ha: The column variable is independent of the row variable. D) H0: Variable P is independent of variables Q and R. Ha: Variable P is not independent of variables Q and R. 2)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 = 3)State your conclusion: A) Do not reject H0. We cannot conclude that the column and row variables are not independent. B) Do not reject H0. We cannot conclude that the column and row variables are independent. C) Reject H0. We conclude that the column variable is not independent of the row variable. D) 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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The following table contains observed frequencies for a sample of 240.

Row Variable	Column Variable
A	B	C
P	20	30	20
Q	30	60	25
R	10	15	30

Test for independence of the row and column variables using

? = 0.05.

1) State the null and alternative hypotheses:

A) H₀: The column variable is independent of the row variable.
H_a: The column variable is not independent of the row variable.

B) H₀: Variable P is not independent of variables Q and R.
H_a: Variable P is independent of variables Q and R.

C) H₀: The column variable is not independent of the row variable.
H_a: The column variable is independent of the row variable.

D) H₀: Variable P is independent of variables Q and R.
H_a: Variable P is not independent of variables Q and R.

2)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 =

3)State your conclusion:

A) Do not reject H₀. We cannot conclude that the column and row variables are not independent.

B) Do not reject H₀. We cannot conclude that the column and row variables are independent.

C) Reject H₀. We conclude that the column variable is not independent of the row variable.

D) Reject H₀. We conclude that the column and row variables are independent.

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