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# Expand Your Knowledge: Either n1 20 or n2 20 For each

ISBN: 9780618949922 213

## Solution for problem 11 Chapter 12.4

Understandable Statistics | 9th Edition

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Problem 11

Expand Your Knowledge: Either n1 20 or n2 20 For each successive presidential term from Franklin Pierce (the 14th president, elected in 1853) to George W. Bush (43rd president), the party affiliation controlling the White House is shown below, where R designates Republican and D designates Democrat. (Reference: The New York Times Almanac.) Historical Note: We start this sequence with the 14th president because earlier presidents belonged to political parties such as the Federalist or Wigg party (not Democratic or Republican). 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. The one exception is the case in which Lincoln (a Republican) was assassinated and the vice president Johnson (a Democrat) finished the term. Test the sequence for randomness at the 5% level of significance. Use the following outline. (a) State the null and alternate hypotheses. (b) Find the number of runs R, n1, and n2. Let n1 number of Republicans and n2 number of Democrats. (c) In this case, n1 21, so we cannot use Table 10 of Appendix II to find the critical values. Whenever either n1 or n2 exceeds 20, the number of runs R has a distribution that is approximately normal, with We convert the number of runs R to a z value, and then use the normal distribution to find the critical values. Convert the sample test statistic R to z using the formula (d) The critical values of a normal distribution for a two-tailed test with level of significance a 0.05 are 1.96 and 1.96 (see Table 5(c) of Appendix II). Reject H0 if the sample test statistic z 1.96 or if the sample test statistic z 1.96. Otherwise, do not reject H0.

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##### ISBN: 9780618949922

Since the solution to 11 from 12.4 chapter was answered, more than 226 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Understandable Statistics, edition: 9. The answer to “Expand Your Knowledge: Either n1 20 or n2 20 For each successive presidential term from Franklin Pierce (the 14th president, elected in 1853) to George W. Bush (43rd president), the party affiliation controlling the White House is shown below, where R designates Republican and D designates Democrat. (Reference: The New York Times Almanac.) Historical Note: We start this sequence with the 14th president because earlier presidents belonged to political parties such as the Federalist or Wigg party (not Democratic or Republican). 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. The one exception is the case in which Lincoln (a Republican) was assassinated and the vice president Johnson (a Democrat) finished the term. Test the sequence for randomness at the 5% level of significance. Use the following outline. (a) State the null and alternate hypotheses. (b) Find the number of runs R, n1, and n2. Let n1 number of Republicans and n2 number of Democrats. (c) In this case, n1 21, so we cannot use Table 10 of Appendix II to find the critical values. Whenever either n1 or n2 exceeds 20, the number of runs R has a distribution that is approximately normal, with We convert the number of runs R to a z value, and then use the normal distribution to find the critical values. Convert the sample test statistic R to z using the formula (d) The critical values of a normal distribution for a two-tailed test with level of significance a 0.05 are 1.96 and 1.96 (see Table 5(c) of Appendix II). Reject H0 if the sample test statistic z 1.96 or if the sample test statistic z 1.96. Otherwise, do not reject H0.” is broken down into a number of easy to follow steps, and 297 words. The full step-by-step solution to problem: 11 from chapter: 12.4 was answered by , our top Statistics solution expert on 01/04/18, 09:09PM. Understandable Statistics was written by and is associated to the ISBN: 9780618949922. This full solution covers the following key subjects: . This expansive textbook survival guide covers 57 chapters, and 994 solutions.

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