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Find the value of the test statistic. (Round your answer to two decimal places.) Z-2.85 x Find the p-value. (Round your answer to four decimal places.) p-value - 0.0044 Jx

Find the value of the test statistic. (Round your answer to two decimal places.) Z-2.85 x Find the p-value. (Round your answer to four decimal places.) p-value - 0.0044 Jx

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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 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.) OH: 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 ⒸH₂: 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 = -2.85 X Find the p-value. (Round your answer to four decimal places.) p-value 0.0044 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. Ⓒ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.
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.) OH: 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 ⒸH₂: 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 = -2.85 X Find the p-value. (Round your answer to four decimal places.) p-value 0.0044 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. Ⓒ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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