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 wo 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.) ⒸH₂: P<0.50 H₂: D-0.50 H₂: P 20.50 H₂:D < 0.50 ⒸHg: ps 0.50 H:D > 0.50 ⒸH₂: P = 0.50 H:D - 0.50 ⒸHO: P* 0.50 H₂: P-0.50 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value- 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 H. 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.
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 wo 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.) ⒸH₂: P<0.50 H₂: D-0.50 H₂: P 20.50 H₂:D < 0.50 ⒸHg: ps 0.50 H:D > 0.50 ⒸH₂: P = 0.50 H:D - 0.50 ⒸHO: P* 0.50 H₂: P-0.50 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value- 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 H. 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.
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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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
O 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
Find the value of the test statistic. (Round your answer to two decimal places.)
z =
Find the p-value. (Round your answer to four decimal places.)
p-value =
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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