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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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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.)
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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