H₂: D 20.50 H₁: P < 0.50 ⒸHO: D-0.50 H₁: P = 0.50 Ho: P ≤ 0.50 H₂: P > 0.50 OH: D# 0.50 H:D-0.50 Ho: P<0.50 HD-0.50 Find the value of the test statistic. (Round your answer to two decimal places.) z--2.21 x Find the p-value. (Round your answer to four decimal places.) p-value - 0.0192x What is your conclusion?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.2: Introduction To Probability
Problem 52E
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You may need to use the appropriate appendix table or technology to answer this question.
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 251
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.)
OH: P≥ 0.50
H₂: P < 0.50
ⒸH₂: p = 0.50
H₂: P = 0.50
Ho: p ≤ 0.50
H₂: p > 0.50
O H₂: 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 = -2.21
x
Find the p-value. (Round your answer to four decimal places.)
p-value = 0.0192
X
What is your conclusion?
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. 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 251 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.) OH: P≥ 0.50 H₂: P < 0.50 ⒸH₂: p = 0.50 H₂: P = 0.50 Ho: p ≤ 0.50 H₂: p > 0.50 O H₂: 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 = -2.21 x Find the p-value. (Round your answer to four decimal places.) p-value = 0.0192 X What is your conclusion?
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