The majority party of the United States House of Representatives for each term (bi-annual) from 1973 to 2007 is shown below, where D and R represent Democrat and Republican, respectively. (Reference: Statistical Abstract of the United States.) D D D D D D D D D D D R R R R R R D Test the sequence for randomness. Use ? = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Ho: The symbols are not randomly mixed. H1: The symbols are randomly mixed.Ho: The symbols are randomly mixed. H1: The symbols are not randomly mixed. Ho: The symbols are not randomly mixed. H1: The symbols are not randomly mixed.Ho: The symbols are randomly mixed. H1: The symbols are randomly mixed. (b) Find the sample test statistic R, the number of runs. (c) Find the upper and lower critical values in Table 10 of Appendix II. c1 c2 (d) Conclude the test. At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. (e) Interpret your conclusion in the context of the application. Reject the null hypothesis, there is sufficient evidence that the sequence of party affiliation for U.S. House of Representatives is not random.Fail to reject the null hypothesis, there is sufficient evidence that the sequence of party affiliation for U.S. House of Representatives is not random. Fail to reject the null hypothesis, there is insufficient evidence that the sequence of party affiliation for U.S. House of Representatives is not random.Reject the null hypothesis, there is insufficient evidence that the sequence of party affiliation for U.S. House of Representatives is not random.
The majority party of the United States House of Representatives for each term (bi-annual) from 1973 to 2007 is shown below, where D and R represent Democrat and Republican, respectively. (Reference: Statistical Abstract of the United States.) D D D D D D D D D D D R R R R R R D Test the sequence for randomness. Use ? = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Ho: The symbols are not randomly mixed. H1: The symbols are randomly mixed.Ho: The symbols are randomly mixed. H1: The symbols are not randomly mixed. Ho: The symbols are not randomly mixed. H1: The symbols are not randomly mixed.Ho: The symbols are randomly mixed. H1: The symbols are randomly mixed. (b) Find the sample test statistic R, the number of runs. (c) Find the upper and lower critical values in Table 10 of Appendix II. c1 c2 (d) Conclude the test. At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. (e) Interpret your conclusion in the context of the application. Reject the null hypothesis, there is sufficient evidence that the sequence of party affiliation for U.S. House of Representatives is not random.Fail to reject the null hypothesis, there is sufficient evidence that the sequence of party affiliation for U.S. House of Representatives is not random. Fail to reject the null hypothesis, there is insufficient evidence that the sequence of party affiliation for U.S. House of Representatives is not random.Reject the null hypothesis, there is insufficient evidence that the sequence of party affiliation for U.S. House of Representatives is not random.
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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The majority party of the United States House of Representatives for each term (bi-annual) from 1973 to 2007 is shown below, where D and R represent Democrat and Republican, respectively. (Reference: Statistical Abstract of the United States.)
D | D | D | D | D | D | D | D | D | D | D | R | R | R | R | R | R | D |
Test the sequence for randomness. Use ? = 0.05.
(a) What is the level of significance?
State the null and alternate hypotheses.
(b) Find the sample test statistic R, the number of runs.
(c) Find the upper and lower critical values in Table 10 of Appendix II.
(d) Conclude the test.
(e) Interpret your conclusion in the context of the application.
State the null and alternate hypotheses.
Ho: The symbols are not randomly mixed. H1: The symbols are randomly mixed.Ho: The symbols are randomly mixed. H1: The symbols are not randomly mixed. Ho: The symbols are not randomly mixed. H1: The symbols are not randomly mixed.Ho: The symbols are randomly mixed. H1: The symbols are randomly mixed.
(b) Find the sample test statistic R, the number of runs.
(c) Find the upper and lower critical values in Table 10 of Appendix II.
c1 | |
c2 |
At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
(e) Interpret your conclusion in the context of the application.
Reject the null hypothesis, there is sufficient evidence that the sequence of party affiliation for U.S. House of Representatives is not random.Fail to reject the null hypothesis, there is sufficient evidence that the sequence of party affiliation for U.S. House of Representatives is not random. Fail to reject the null hypothesis, there is insufficient evidence that the sequence of party affiliation for U.S. House of Representatives is not random.Reject the null hypothesis, there is insufficient evidence that the sequence of party affiliation for U.S. House of Representatives is not random.
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