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In a recent poll six hundred adults were asked a series of questions about the state of the economy and their children's future. One question was, "Do you expect your children to have a better life than you have had, a worse life, or a life about the same as yours?" The responses showed 242 better, 310 worse, and 48 about the same. Use the sign test and a - .05, to determine whether there is a difference between the number of adults who feel their children will have better life compared to a worse life. Use Table 1 of Appendix B. Round z value in intermediate calculations to 2 decimal places. a. What are the null and alternative hypotheses? Ho: p equal to .50 H:p not equal to .50 b. What is the p-value for the hypothesis test (to 4 decimals)? 0.0038

In a recent poll six hundred adults were asked a series of questions about the state of the economy and their children's future. One question was, "Do you expect your children to have a better life than you have had, a worse life, or a life about the same as yours?" The responses showed 242 better, 310 worse, and 48 about the same. Use the sign test and a - .05, to determine whether there is a difference between the number of adults who feel their children will have better life compared to a worse life. Use Table 1 of Appendix B. Round z value in intermediate calculations to 2 decimal places. a. What are the null and alternative hypotheses? Ho: p equal to .50 H:p not equal to .50 b. What is the p-value for the hypothesis test (to 4 decimals)? 0.0038

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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In a recent poll, six hundred adults were asked a series of questions about the state of the economy and their children's future. One question was, "Do you expect your children to have a better life than you have had, a worse life, or a life about the same as yours?" The responses showed 242 better, 310 worse, and 48 about the same. Use the sign test and \( \alpha = 0.05 \) to determine whether there is a difference between the number of adults who feel their children will have a better life compared to a worse life. Use Table 1 of Appendix B. Round \( z \) value in intermediate calculations to 2 decimal places. a. What are the null and alternative hypotheses? - \( H_0: p \) equal to .50 - \( H_a: p \) not equal to .50 b. What is the \( p \)-value for the hypothesis test (to 4 decimals)? - \( 0.0038 \) (Incorrect)
Transcribed Image Text:In a recent poll, six hundred adults were asked a series of questions about the state of the economy and their children's future. One question was, "Do you expect your children to have a better life than you have had, a worse life, or a life about the same as yours?" The responses showed 242 better, 310 worse, and 48 about the same. Use the sign test and \( \alpha = 0.05 \) to determine whether there is a difference between the number of adults who feel their children will have a better life compared to a worse life. Use Table 1 of Appendix B. Round \( z \) value in intermediate calculations to 2 decimal places. a. What are the null and alternative hypotheses? - \( H_0: p \) equal to .50 - \( H_a: p \) not equal to .50 b. What is the \( p \)-value for the hypothesis test (to 4 decimals)? - \( 0.0038 \) (Incorrect)
**Study on the Effects of a Relaxant on Sleep** A sample of 12 men was used in a study to test the effects of a relaxant on the time required to fall asleep. The data below shows the number of minutes required to fall asleep with and without the use of the relaxant. The study uses a 0.05 level of significance to determine whether the relaxant reduces the median time required to fall asleep. **Data:** | Subject | Without Relaxant | With Relaxant | |---------|------------------|---------------| | 1 | 15 | 10 | | 2 | 12 | 10 | | 3 | 22 | 12 | | 4 | 8 | 11 | | 5 | 7 | 5 | | 6 | 10 | 9 | | 7 | 16 | 15 | | 8 | 11 | 10 | | 9 | 14 | 11 | | 10 | 10 | 7 | | 11 | 12 | 8 | | 12 | 12 | 9 | --- **Statistical Test and Hypotheses:** a. **Null and Alternative Hypotheses:** - **\(H_0\):** Median time without Relaxant - Median time with Relaxant ≤ 0 - **\(H_a\):** Median time without Relaxant - Median time with Relaxant > 0 b. **Statistical Test Details:** - **Mean:** 39 (Correct) - **Standard deviation:** 12.75 (Incorrect) - **Test statistic (to 2 decimals):** 10.5 (Incorrect) - **p-value (to 4 decimals):** 0.0127 The goal of this statistical analysis is to ascertain whether the relaxant significantly decreases the time required to fall asleep in comparison to no treatment. The correct interpretation of the mean, standard deviation, and test statistic will aid in understanding the efficacy of the relaxant.
Transcribed Image Text:**Study on the Effects of a Relaxant on Sleep** A sample of 12 men was used in a study to test the effects of a relaxant on the time required to fall asleep. The data below shows the number of minutes required to fall asleep with and without the use of the relaxant. The study uses a 0.05 level of significance to determine whether the relaxant reduces the median time required to fall asleep. **Data:** | Subject | Without Relaxant | With Relaxant | |---------|------------------|---------------| | 1 | 15 | 10 | | 2 | 12 | 10 | | 3 | 22 | 12 | | 4 | 8 | 11 | | 5 | 7 | 5 | | 6 | 10 | 9 | | 7 | 16 | 15 | | 8 | 11 | 10 | | 9 | 14 | 11 | | 10 | 10 | 7 | | 11 | 12 | 8 | | 12 | 12 | 9 | --- **Statistical Test and Hypotheses:** a. **Null and Alternative Hypotheses:** - **\(H_0\):** Median time without Relaxant - Median time with Relaxant ≤ 0 - **\(H_a\):** Median time without Relaxant - Median time with Relaxant > 0 b. **Statistical Test Details:** - **Mean:** 39 (Correct) - **Standard deviation:** 12.75 (Incorrect) - **Test statistic (to 2 decimals):** 10.5 (Incorrect) - **p-value (to 4 decimals):** 0.0127 The goal of this statistical analysis is to ascertain whether the relaxant significantly decreases the time required to fall asleep in comparison to no treatment. The correct interpretation of the mean, standard deviation, and test statistic will aid in understanding the efficacy of the relaxant.
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