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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?" Suppose the responses showed 246 better, 312 worse, and 42 about the same. Use the sign test and a 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. State the null and alternative hypotheses. (Let p- the proportion of adults who feel their children will have a better life.) OM:P<0.50 M₁: P=0.50 ⒸM₂: 20.50 HD <0.50 Ho: P S 0.50 M₂: D > 0.50 Hol D-0.50 H₁: D. 0.50 ⒸM₂: P0.50 M₁: P = 0.50 Find the value of the test statistic. (Round your answer to two decimal places.) 2-2.85 Find the p-value. (Round your answer to four decimal places.) P-value-00044 What is your conclusion? O Reject H. There is not sufficient evidence to conclude that there is a significant difference between the number of adults who feel their children will have a better life compared to a worse life. Reject Mg. There is sufficient evidence to conclude that there is a significant difference between the number of adults who feel their children will have a better life compared to a worse life. O Do not reject He. There is sufficient evidence to conclude that there is a significant difference between the number of adults who feel their children will have a better life compared to a worse life. O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the number of adults who feel their children will have a better life compared to a worse life.

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?" Suppose the responses showed 246 better, 312 worse, and 42 about the same. Use the sign test and a 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. State the null and alternative hypotheses. (Let p- the proportion of adults who feel their children will have a better life.) OM:P<0.50 M₁: P=0.50 ⒸM₂: 20.50 HD <0.50 Ho: P S 0.50 M₂: D > 0.50 Hol D-0.50 H₁: D. 0.50 ⒸM₂: P0.50 M₁: P = 0.50 Find the value of the test statistic. (Round your answer to two decimal places.) 2-2.85 Find the p-value. (Round your answer to four decimal places.) P-value-00044 What is your conclusion? O Reject H. There is not sufficient evidence to conclude that there is a significant difference between the number of adults who feel their children will have a better life compared to a worse life. Reject Mg. There is sufficient evidence to conclude that there is a significant difference between the number of adults who feel their children will have a better life compared to a worse life. O Do not reject He. There is sufficient evidence to conclude that there is a significant difference between the number of adults who feel their children will have a better life compared to a worse life. O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the number of adults who feel their children will have a better life compared to a worse life.

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?" Suppose the responses showed 246 better, 312 worse, and 42 about the same. Use the sign test and a = 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. State the null and alternative hypotheses. (Let p = the proportion of adults who feel their children will have a better life.) O Ho: P < 0.50 H₂: P = 0.50 O Ho: p2 0.50 H₂: P < 0.50 OH: P≤ 0.50 H₂: p > 0.50 ⒸH₂: p = 0.50 H₂: P = 0.50 O Ho: P = 0.50 H₂: P = 0.50 Find the value of the test statistic. (Round your answer to two decimal places.) z = -2.85 x Find the p-value. (Round your answer to four decimal places.) p-value = 0.0044 |X What is your conclusion? O Reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the number of adults who feel their children will have a better life compared to a worse life. Reject Ho. There is sufficient evidence to conclude that there is a significant difference between the number of adults who feel their children will have a better life compared to a worse life. O Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference between the number of adults who feel their children will have a better life compared to a worse life. O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the number of adults who feel their children will have a better life compared to a worse life. ✓
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?" Suppose the responses showed 246 better, 312 worse, and 42 about the same. Use the sign test and a = 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. State the null and alternative hypotheses. (Let p = the proportion of adults who feel their children will have a better life.) O Ho: P < 0.50 H₂: P = 0.50 O Ho: p2 0.50 H₂: P < 0.50 OH: P≤ 0.50 H₂: p > 0.50 ⒸH₂: p = 0.50 H₂: P = 0.50 O Ho: P = 0.50 H₂: P = 0.50 Find the value of the test statistic. (Round your answer to two decimal places.) z = -2.85 x Find the p-value. (Round your answer to four decimal places.) p-value = 0.0044 |X What is your conclusion? O Reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the number of adults who feel their children will have a better life compared to a worse life. Reject Ho. There is sufficient evidence to conclude that there is a significant difference between the number of adults who feel their children will have a better life compared to a worse life. O Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference between the number of adults who feel their children will have a better life compared to a worse life. O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the number of adults who feel their children will have a better life compared to a worse life. ✓
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