Find the value of the test statistic. (Round your answer to two decimal places.) z--4.00 Find the p-value. (Round your answer to four decimal places.) p-value - 0.0001 x What is your conclusion?

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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 respo
better, 303 worse, and 46 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: p2 0.50
H₂: P < 0.50
ⒸH₁: p = 0.50
H₂: P = 0.50
O Ho: p ≤ 0.50
H₂: p > 0.50
OH: 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 = -4.00
X
Find the p-value. (Round your answer to four decimal places.)
p-value = 0.0001
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.
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.
Ⓒ 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.
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 respo better, 303 worse, and 46 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: p2 0.50 H₂: P < 0.50 ⒸH₁: p = 0.50 H₂: P = 0.50 O Ho: p ≤ 0.50 H₂: p > 0.50 OH: 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 = -4.00 X Find the p-value. (Round your answer to four decimal places.) p-value = 0.0001 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. 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. Ⓒ 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.
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