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

Row Variable	Column Variable
A	B	C
P	20	44	50
Q	30	26	30

Test for independence of the row and column variables using

= 0.05.

1) State the null and alternative hypotheses. Multiple choice

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

c) H₀: Variable P is not independent of variable Q. H_a: Variable P is independent of variable Q.

d)H₀: Variable P is independent of variable Q. H_a: Variable P is not independent of variable Q.

2) .Find the value of the test statistic. (Round your answer to three decimal places.)

3) Find the p-value. (Round your answer to four decimal places.)p-value =

4) State your conclusion. Multiple Choice

a) Reject H₀. We conclude that there is an association between the column variable and the row variable

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

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

d) Do not reject H₀. We cannot conclude that there is an association between the column variable and the row variable.