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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. O 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 your 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.) Ho: P < 0.50 H₂: P = 0.50 Ho: P ≥ 0.50 H₂: P < 0.50 O Ho: p ≤ 0.50 H: p > 0.50 Ho: P = 0.50 H₂: P = 0.50 Ho: P = 0.50 # H₂: P = 0.50 Find the value of the test statistic. (Round your answer to two decimal places.) z = 4.41 X Find the p-value. (Round your answer to four decimal places.) p-value = 0.0001 X What is your conclusion? 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. 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. 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. O 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 your 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.) Ho: P < 0.50 H₂: P = 0.50 Ho: P ≥ 0.50 H₂: P < 0.50 O Ho: p ≤ 0.50 H: p > 0.50 Ho: P = 0.50 H₂: P = 0.50 Ho: P = 0.50 # H₂: P = 0.50 Find the value of the test statistic. (Round your answer to two decimal places.) z = 4.41 X Find the p-value. (Round your answer to four decimal places.) p-value = 0.0001 X What is your conclusion? 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. 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. 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.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 1CA
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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.) Ho: P < 0.50 H₂: P = 0.50 Ho: P ≥ 0.50 H₂: P < 0.50 O Ho: p ≤ 0.50 H₂: p > 0.50 Ho: P = 0.50 H₂: P = 0.50 Ho: P = 0.50 # H₂: P = 0.50 Find the value of the test statistic. (Round your answer to two decimal places.) z = 4.41 Find the p-value. (Round your answer to four decimal places.) p-value = 0.0001 X What is your conclusion? 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. 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. 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.) Ho: P < 0.50 H₂: P = 0.50 Ho: P ≥ 0.50 H₂: P < 0.50 O Ho: p ≤ 0.50 H₂: p > 0.50 Ho: P = 0.50 H₂: P = 0.50 Ho: P = 0.50 # H₂: P = 0.50 Find the value of the test statistic. (Round your answer to two decimal places.) z = 4.41 Find the p-value. (Round your answer to four decimal places.) p-value = 0.0001 X What is your conclusion? 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. 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. 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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