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The following table contains observed frequencies for a sample of 200. Row Variable P Q Column Variable A B 16 40 46 34 30 34 Test for independence of the row and column variables using a = 0.05. State the null and alternative hypotheses. O Ho: Variable P is not independent of variable Q. H₂: Variable P is independent of variable Q. O Ho: The column variable is independent of the row variable. H₂: The column variable is not independent of the row variable. O Ho: The column variable is not independent of the row variable. H₂: The column variable is independent of the row variable. O Ho: Variable P is independent of variable Q. H a: 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. O Reject Ho. We conclude that the column and row variables are independent. 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 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.

The following table contains observed frequencies for a sample of 200. Row Variable P Q Column Variable A B 16 40 46 34 30 34 Test for independence of the row and column variables using a = 0.05. State the null and alternative hypotheses. O Ho: Variable P is not independent of variable Q. H₂: Variable P is independent of variable Q. O Ho: The column variable is independent of the row variable. H₂: The column variable is not independent of the row variable. O Ho: The column variable is not independent of the row variable. H₂: The column variable is independent of the row variable. O Ho: Variable P is independent of variable Q. H a: 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. O Reject Ho. We conclude that the column and row variables are independent. 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 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.

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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The following table contains observed frequencies for a sample of 200. Row Variable P Q Column Variable A B C 16 40 46 34 30 34 Test for independence of the row and column variables using a = 0.05. State the null and alternative hypotheses. O Ho: Variable P is not independent of variable Q. H: Variable P is independent of variable Q. O Ho: The column variable is independent of the row variable. H₂: The column variable is not independent of the row variable. a O Ho: The column variable is not independent of the row variable. H₂: The column variable is independent of the row variable. O Ho: Variable P is independent of variable Q. H₂: 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. O Reject Ho. We conclude that the column and row variables are independent. 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 Ho. We cannot conclude that the column and row variables are independent. O Reject Ho. We conclude that there is an association between the column variable and the row variable.
Transcribed Image Text:The following table contains observed frequencies for a sample of 200. Row Variable P Q Column Variable A B C 16 40 46 34 30 34 Test for independence of the row and column variables using a = 0.05. State the null and alternative hypotheses. O Ho: Variable P is not independent of variable Q. H: Variable P is independent of variable Q. O Ho: The column variable is independent of the row variable. H₂: The column variable is not independent of the row variable. a O Ho: The column variable is not independent of the row variable. H₂: The column variable is independent of the row variable. O Ho: Variable P is independent of variable Q. H₂: 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. O Reject Ho. We conclude that the column and row variables are independent. 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 Ho. We cannot conclude that the column and row variables are independent. O Reject Ho. We conclude that there is an association between the column variable and the row variable.
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