For each successive presidential term from Teddy Roosevelt to Ronald Reagan (first term), the party affiliation controlling the White House is shown below, where R designates Republican and D designates Democrat.† R R R D D R R D D D D D R D R R D R Historical Note: In cases in which a president died in office or resigned, the period during which the vice president finished the term is not counted as a new term. Test the sequence for randomness. Use ? = 0.05. (a) What is the level of significan
For each successive presidential term from Teddy Roosevelt to Ronald Reagan (first term), the party affiliation controlling the White House is shown below, where R designates Republican and D designates Democrat.† R R R D D R R D D D D D R D R R D R Historical Note: In cases in which a president died in office or resigned, the period during which the vice president finished the term is not counted as a new term. Test the sequence for randomness. Use ? = 0.05. (a) What is the level of significan
MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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For each successive presidential term from Teddy Roosevelt to Ronald Reagan (first term), the party affiliation controlling the White House is shown below, where R designates Republican and D designates Democrat.†
| R | R | R | D | D | R | R | D | D | D | D | D |
| R | D | R | R | D | R |
Historical Note: In cases in which a president died in office or resigned, the period during which the vice president finished the term is not counted as a new term.
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 not 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 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.
R =
(c)
Find the upper and lower critical values in the Critical Values for Number of Runs R table.
c1=c2=
(d)
Conclude the test.
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 reject the null hypothesis and conclude the data are 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.
Fail to reject the null hypothesis, there is sufficient evidence that the sequence of presidential party affiliation is not random.Fail to reject the null hypothesis, there is insufficient evidence that the sequence of presidential party affiliation is not random. Reject the null hypothesis, there is sufficient evidence that the sequence of presidential party affiliation is not random.Reject the null hypothesis, there is insufficient evidence that the sequence of presidential party affiliation is not random.
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