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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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=