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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. Column Variable Row Variable A B C P 20 44 50 Q 30 26 30 Test for independence of the row and column variables using = 0.05. State the null and alternative hypotheses. Ho: Variable P is not independent of variable Q. Ha: Variable P is independent of variable Q. Ho: The column variable is not independent of the row variable. Ha: The column variable is independent of the row variable. Ho: The column variable is independent of the row variable. Ha: The column variable is not independent of the row variable. Ho: 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. 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. Reject Ho. We conclude that the column and row variables are independent. Do not reject Ho. We cannot conclude that there is an association between the column variable and the row variable. 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 C P 20 44 50 Q 30 26 30 Test for independence of the row and column variables using = 0.05. State the null and alternative hypotheses. Ho: Variable P is not independent of variable Q. Ha: Variable P is independent of variable Q. Ho: The column variable is not independent of the row variable. Ha: The column variable is independent of the row variable. Ho: The column variable is independent of the row variable. Ha: The column variable is not independent of the row variable. Ho: 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. 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. Reject Ho. We conclude that the column and row variables are independent. Do not reject Ho. We cannot conclude that there is an association between the column variable and the row variable.
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