The following table contains observed frequencies for a sample of 200. Column Variable Row Variable A 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: The column variable is not independent of the row variable. H: The column variable is independent of the row variable. O Ho: Variable P is not independent of variable Q. H: Variable P is independent of variable Q. 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. 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. O Do not reject Ha. We cannot conclude that the column and row variables are independent. O Reject H. We conclude that there is an association between the column variable and the row variable. O Reject Ha. We conclude that the column and row variables are independent.

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The following table contains observed frequencies for a sample of 200.
Column Variable
Row
Variable
A
B
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: The column variable is not independent of the row variable.
H: The column variable is independent of the row variable.
O Ho: Variable P is not independent of variable Q.
H: Variable P is independent of variable Q.
O H,: 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.
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 H. We cannot conclude that there is an association between the column variable and the row variable.
O Do not reject H.. We cannot conclude that the column and row variables are independent.
O Reject H. We conclude that there is an association between the column variable and the row variable.
O Reject H. We conclude that the column and row variables are independent.
Transcribed Image Text:You may need to use the appropriate technology to answer this question. The following table contains observed frequencies for a sample of 200. Column Variable Row Variable A B 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: The column variable is not independent of the row variable. H: The column variable is independent of the row variable. O Ho: Variable P is not independent of variable Q. H: Variable P is independent of variable Q. O H,: 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. 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 H. We cannot conclude that there is an association between the column variable and the row variable. O Do not reject H.. We cannot conclude that the column and row variables are independent. O Reject H. We conclude that there is an association between the column variable and the row variable. O Reject H. We conclude that the column and row variables are independent.
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