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Row 1 2 Total 1 36 65 101 2 3 Total 33 92 161 57 117 239 90 209 400 wish to test the null hypothesis of "independence"-that the probability that a response falls in any one row is independent of the column it falls in- to use a chi-square test. The test statistic is X² = 2.61. duct the test for a = 0.01 and state your conclusions. e the null and alternative hypotheses. Ho: The column variable and row variable are independent. H: The column variable and row variable are dependent.

Row 1 2 Total 1 36 65 101 2 3 Total 33 92 161 57 117 239 90 209 400 wish to test the null hypothesis of "independence"-that the probability that a response falls in any one row is independent of the column it falls in- to use a chi-square test. The test statistic is X² = 2.61. duct the test for a = 0.01 and state your conclusions. e the null and alternative hypotheses. Ho: The column variable and row variable are independent. H: The column variable and row variable are dependent.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Use the data in the contingency table to answer the question. Row 1 2 Total Column 1 2 36 33 65 57 101 90 209 3 92 117 Total 161 239 400 You wish to test the null hypothesis of "independence"-that the probability that a response falls in any one row is independent of the column it falls in-and you plan to use a chi-square test. The test statistic is X² = 2.61. Conduct the test for a = 0.01 and state your conclusions. State the null and alternative hypotheses. O Ho: The column variable and row variable are independent. : The column variable and row variable are dependent. H₂: O о но Ho: The column variable and row variable are dependent. H: The column variable and row variable are independent. O No O Ho: The column variable and row variable are independent. H₂: : The column variable and row variable are are linearly related. O Ho: The column variable and row variable are linearly related. H₂: : The column variable and row variable are independent. Does the test statistic fall in the rejection region? Use the pvalue approach to make your decision. Yes State your conclusion. O Ho is not rejected. There is insufficient evidence to indicate dependence. O Ho is not rejected. There is sufficient evidence to indicate dependence. O Ho is rejected. There is sufficient evidence to indicate dependence. OH is rejected. There is insufficient evidence to indicate dependence.
Transcribed Image Text:Use the data in the contingency table to answer the question. Row 1 2 Total Column 1 2 36 33 65 57 101 90 209 3 92 117 Total 161 239 400 You wish to test the null hypothesis of "independence"-that the probability that a response falls in any one row is independent of the column it falls in-and you plan to use a chi-square test. The test statistic is X² = 2.61. Conduct the test for a = 0.01 and state your conclusions. State the null and alternative hypotheses. O Ho: The column variable and row variable are independent. : The column variable and row variable are dependent. H₂: O о но Ho: The column variable and row variable are dependent. H: The column variable and row variable are independent. O No O Ho: The column variable and row variable are independent. H₂: : The column variable and row variable are are linearly related. O Ho: The column variable and row variable are linearly related. H₂: : The column variable and row variable are independent. Does the test statistic fall in the rejection region? Use the pvalue approach to make your decision. Yes State your conclusion. O Ho is not rejected. There is insufficient evidence to indicate dependence. O Ho is not rejected. There is sufficient evidence to indicate dependence. O Ho is rejected. There is sufficient evidence to indicate dependence. OH is rejected. There is insufficient evidence to indicate dependence.
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