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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.

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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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 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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