In a recent poll 600 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 245 better, 313 worse, and 42 about the same. Use the sign test and α = 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 H: p=0.50 Ho: p ≥ 0.50 Ha: p < 0.50 Ho: p ≤ 0.50 Ha: p > 0.50 Ho: p = 0.50 H: p=0.50 Ho: p = 0.50 Ha: p = 0.50 Find the value of the test statistic. (Round your answer to two decimal places.) z = -4.51 x Find the p-value. (Round your answer to four decimal places.) p-value = 0.0003 What is your conclusion? 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. 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. 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 600 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 245 better, 313 worse, and 42 about the same. Use the sign test and α = 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 H: p=0.50 Ho: p ≥ 0.50 Ha: p < 0.50 Ho: p ≤ 0.50 Ha: p > 0.50 Ho: p = 0.50 H: p=0.50 Ho: p = 0.50 Ha: p = 0.50 Find the value of the test statistic. (Round your answer to two decimal places.) z = -4.51 x Find the p-value. (Round your answer to four decimal places.) p-value = 0.0003 What is your conclusion? 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. 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. 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
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 42PFA
Related questions
Question
In a recent poll 600 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 245 better, 313 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.)
- 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=
Transcribed Image Text:In a recent poll 600 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 245 better, 313 worse, and 42 about the same. Use the sign test and α = 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
H: p=0.50
Ho: p ≥ 0.50
Ha: p < 0.50
Ho: p ≤ 0.50
Ha: p > 0.50
Ho: p = 0.50
H: p=0.50
Ho: p = 0.50
Ha: p = 0.50
Find the value of the test statistic. (Round your answer to two decimal places.)
z = -4.51
x
Find the p-value. (Round your answer to four decimal places.)
p-value = 0.0003
What is your conclusion?
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.
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.
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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